Relevant bibliographies by topics / Geometric inequality

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Geometric inequality'

Author: Grafiati
Published: 4 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Geometric inequality"

1

R., Elakkiya, and Panneer Selvam A. "A STUDY ON GEOMETRIC INEQUALITIES." International Journal of Current Research and Modern Education, Special Issue (August 15, 2017): 88–89. https://doi.org/10.5281/zenodo.843539.

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Kotlyar, B. D. "On a geometric inequality." Journal of Soviet Mathematics 51, no. 5 (1990): 2534–36. http://dx.doi.org/10.1007/bf01104168.

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Chu, Xiao-Guang, and Jian Liu. "Generalization of a Geometric Inequality." Missouri Journal of Mathematical Sciences 21, no. 3 (2009): 155–62. http://dx.doi.org/10.35834/mjms/1316024881.

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Bracken, Paul. "An arithmetic-geometric mean inequality." Expositiones Mathematicae 19, no. 3 (2001): 273–79. http://dx.doi.org/10.1016/s0723-0869(01)80006-2.

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Liu, Jian. "A geometric inequality with applications." Journal of Mathematical Inequalities, no. 3 (2016): 641–48. http://dx.doi.org/10.7153/jmi-10-51.

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Eddy, Roland H. "Behold! The Arithmetic-Geometric Mean Inequality." College Mathematics Journal 16, no. 3 (1985): 208. http://dx.doi.org/10.2307/2686572.

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Sababheh, Mohammad, Shigeru Furuichi, Zahra Heydarbeygi, and Hamid Reza Moradi. "On the arithmetic-geometric mean inequality." Journal of Mathematical Inequalities, no. 3 (2021): 1255–66. http://dx.doi.org/10.7153/jmi-2021-15-84.

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Hayashi, Tomohiro. "Non-commutative arithmetic-geometric mean inequality." Proceedings of the American Mathematical Society 137, no. 10 (2009): 3399. http://dx.doi.org/10.1090/s0002-9939-09-09911-0.

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Lucht, Lutz G. "On the Arithmetic-Geometric Mean Inequality." American Mathematical Monthly 102, no. 8 (1995): 739. http://dx.doi.org/10.2307/2974645.

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Eddy, Roland H. "Behold! The Arithmetic-Geometric Mean Inequality." College Mathematics Journal 16, no. 3 (1985): 208. http://dx.doi.org/10.1080/07468342.1985.11972881.

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Dissertations / Theses on the topic "Geometric inequality"

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Wink, Matthias. "Ricci solitons and geometric analysis." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:3aae2c5e-58aa-42da-9a1b-ec15cacafdad.

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This thesis studies Ricci solitons of cohomogeneity one and uniform Poincaré inequalities for differentials on Riemann surfaces. In the two summands case, which assumes that the isotropy representation of the principal orbit consists of two inequivalent Ad-invariant irreducible summands, complete steady and expanding Ricci solitons have been detected numerically by Buzano-Dancer-Gallaugher-Wang. This work provides a rigorous construction thereof. A Lyapunov function is introduced to prove that the Ricci soliton metrics lie in a bounded region of an associated phase space. This also gives an a
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Wigren, Thomas. "The Cauchy-Schwarz inequality : Proofs and applications in various spaces." Thesis, Karlstads universitet, Avdelningen för matematik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-38196.

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We give some background information about the Cauchy-Schwarz inequality including its history. We then continue by providing a number of proofs for the inequality in its classical form using various proof techniques, including proofs without words. Next we build up the theory of inner product spaces from metric and normed spaces and show applications of the Cauchy-Schwarz inequality in each content, including the triangle inequality, Minkowski's inequality and Hölder's inequality. In the final part we present a few problems with solutions, some proved by the author and some by others.
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Hoffmann-Ostenhof, M., T. Hoffmann-Ostenhof, A. Laptev, and thoffman@esi ac at. "A Geometrical Version of Hardy's Inequality." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1017.ps.

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Van, Wyk Hans-Werner. "The Blaschke-Santalo inequality." Pretoria : [s.n.], 2007. http://upetd.up.ac.za/thesis/available/etd-06112008-165838.

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Santos, Ednaldo Sena dos. "Problemas de máximo e mínimo na geometria euclidiana /." Universidade Federal da Paraí­ba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7390.

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Made available in DSpace on 2015-05-15T11:46:08Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-08-27<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>This work presents a research on problems of maxima and minima of the Euclidean geometry. Initially we present some preliminary results followed by statements that in essence use basic concepts of geometry. Below are some problems of maximizing area and minimizing perimeter of triangles and convex polygons, culminating in a proof of the isoperimetric inequality for polygons and review the general case. Sol
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Brito, Frank Werlly Mendes de. "Otimização: uma aplicação para desigualdade das médias e para desigualdade de Cauchy-Schwarz." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9347.

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Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-30T15:23:43Z No. of bitstreams: 1 arquivototal.pdf: 822546 bytes, checksum: 65e4e4556f8a395ac8f52a971bc3fc38 (MD5)<br>Approved for entry into archive by Fernando Souza (fernandoafsou@gmail.com) on 2017-08-31T10:51:03Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 822546 bytes, checksum: 65e4e4556f8a395ac8f52a971bc3fc38 (MD5)<br>Made available in DSpace on 2017-08-31T10:51:03Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 822546 bytes, checksum: 65e4e4556f8a395ac8f52a971bc3fc38 (MD5) Previous issue date: 2016-02-29<br>
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Sumi, Ken. "Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263432.

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Lima, Josenildo da Cunha. "O estudo de problemas de otimização com a utilização do software GeoGebra." Universidade Estadual da Paraíba, 2017. http://tede.bc.uepb.edu.br/jspui/handle/tede/2871.

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Submitted by Jean Medeiros (jeanletras@uepb.edu.br) on 2017-11-06T12:17:01Z No. of bitstreams: 1 PDF - Josenildo da Cunha Lima.pdf: 21330682 bytes, checksum: b04b7f38635dc46f7b4cfbfc949c318b (MD5)<br>Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2017-11-08T16:45:20Z (GMT) No. of bitstreams: 1 PDF - Josenildo da Cunha Lima.pdf: 21330682 bytes, checksum: b04b7f38635dc46f7b4cfbfc949c318b (MD5)<br>Made available in DSpace on 2017-11-08T16:45:20Z (GMT). No. of bitstreams: 1 PDF - Josenildo da Cunha Lima.pdf: 21330682 bytes, checksum: b04b7f38635dc46f7b4cfbfc949c318b (MD
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Pryby, Christopher Ian. "Some results on sums and products." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53090.

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We demonstrate new results in additive combinatorics, including a proof of a conjecture by J. Solymosi: for every epsilon > 0, there exists delta > 0 such that, given n² points in a grid formation in R², if L is a set of lines in general position such that each line intersects at least n^{1-delta} points of the grid, then |L| < n^epsilon. This result implies a conjecture of Gy. Elekes regarding a uniform statistical version of Freiman's theorem for linear functions with small image sets.
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Tramel, Rebecca. "New stability conditions on surfaces and new Castelnuovo-type inequalities for curves on complete-intersection surfaces." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/20990.

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Let X be a smooth complex projective variety. In 2002, [Bri07] defined a notion of stability for the objects in Db(X), the bounded derived category of coherent sheaves on X, which generalized the notion of slope stability for vector bundles on curves. There are many nice connections between stability conditions on X and the geometry of the variety. In 2012, [BMT14] gave a conjectural stability condition for threefolds. In the case that X is a complete intersection threefold, the existence of this stability condition would imply a Castelnuovo-type inequality for curves on X. I give a new Castel
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Books on the topic "Geometric inequality"

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Blei, R. C. The Grothendieck inequality revisited. American Mathematical Society, 2014.

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Ghandehari, Mostafa. Minkowski's inequality for convex curves. University of Texas at Arlington, Dept. of Mathematics, 2001.

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Ivanov, Stefan P. Extremals for the Sobolev inequality and the quaternionic contact Yamabe problem. World Scientific, 2011.

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Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Fizmatlit Publisher, 2021.

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Robbin, Joel W., Valentina Georgoulas, and Dietmar Arno Salamon. Moment-Weight Inequality and the Hilbert-Mumford Criterion: GIT from the Differential Geometric Viewpoint. Springer International Publishing AG, 2021.

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Edmunds, D. E., and W. D. Evans. Entropy Numbers, s-Numbers, and Eigenvalues. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0002.

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The geometric quantities entropy numbers, approximation numbers and n-widths are defined for compact linear maps, and connections with the analytic entities eigenvalues and essential spectra discussed. The celebrated inequality of Weyl between the approximation numbers and eigenvalues is established in the general context of Lorentz sequence spaces. Also included are an axiomatic approach to s-numbers, a discussion of non-compact maps, and the Schmidt decomposition theory for compact linear operators in Hilbert spaces.
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Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac
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Vassilev, Dimiter N., and Stefan P. Ivanov. Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem. World Scientific Publishing Co Pte Ltd, 2011.

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Book chapters on the topic "Geometric inequality"

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Burago, Yuriĭ Dmitrievich, and Viktor Abramovich Zalgaller. "The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality." In Geometric Inequalities. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-07441-1_2.

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Bourgain, J., M. Meyer, V. Milman, and A. Pajor. "On a geometric inequality." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081747.

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Christ, Michael. "Young’s Inequality Sharpened." In Geometric Aspects of Harmonic Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72058-2_7.

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Buldygin, V. V., and A. B. Kharazishvili. "Brunn-Minkowski inequality." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_2.

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Fink, A. M. "A Treatise on Grüss’ Inequality." In Analytic and Geometric Inequalities and Applications. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4577-0_7.

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Kołodziej, Sławomir, and Ngoc Cuong Nguyen. "An Inequality Between Complex Hessian Measures of Hölder Continuous m-subharmonic Functions and Capacity." In Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34953-0_9.

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Christ, Michael. "On Young’s Convolution Inequality for Heisenberg Groups." In Geometric Aspects of Harmonic Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72058-2_6.

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Motreanu, D., and V. Rădulescu. "Inequality Problems in BV and Geometric Applications." In Nonconvex Optimization and Its Applications. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4757-6921-0_11.

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Gluskin, E., and V. Milman. "Note on the Geometric-Arithmetic Mean Inequality." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36428-3_11.

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Karl-Heinz, Elster, and Rosalind Elster. "Vector Variational Inequality and Geometric Vector Optimization." In Variational Inequalities and Network Equilibrium Problems. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1358-6_6.

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Conference papers on the topic "Geometric inequality"

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Liu, Xingtu. "A Note on Arithmetic–Geometric Mean Inequality for Well-Conditioned Matrices." In 2025 59th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2025. https://doi.org/10.1109/ciss64860.2025.10944733.

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Kale, Vaibhav, Vikram Bapat, and Bernie Bettig. "Geometric Constraint Solving With Solution Selectors." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-50113.

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Current parametric CAD systems are based on solving equality type of constraints between geometric objects and parameters. This includes algebraic equations constraining the values of variables, and geometric constraints, constraining the positions of geometric objects. However, to truly represent design intent, next-generation CAD systems must also allow users to input other types of constraints such as inequality constraints. Inequality constraints are expressed as inequality expressions on variables or as geometric constraints that force geometric objects to be on specific sides or have spe
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Marsiglietti, Arnaud, and Victoria Kostina. "New Connections Between the Entropy Power Inequality and Geometric Inequalities." In 2018 IEEE International Symposium on Information Theory (ISIT). IEEE, 2018. http://dx.doi.org/10.1109/isit.2018.8437604.

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Wu, Chunfeng, Jing-Ling Chen, L. C. Kwek, and C. H. Oh. "A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits." In Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772527_0042.

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Kulumani, Shankar, Christopher Poole, and Taeyoung Lee. "Geometric adaptive control of attitude dynamics on SO(3) with state inequality constraints." In 2016 American Control Conference (ACC). IEEE, 2016. http://dx.doi.org/10.1109/acc.2016.7526135.

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Khalil, Muhammad I., Stevan M. Berber, and Kevin W. Sowerby. "Comparison of Harmonic and Arithmetic-Geometric Mean inequality for performance analysis of relay networks." In 2017 8th International Conference on Information and Communication Systems (ICICS). IEEE, 2017. http://dx.doi.org/10.1109/iacs.2017.7921982.

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JOULIN, ALDÉRIC, and NICOLAS PRIVAULT. "A LOGARITHMIC SOBOLEV INEQUALITY FOR AN INTERACTING SPIN SYSTEM UNDER A GEOMETRIC REFERENCE MEASURE." In Proceedings of the 26th Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770271_0026.

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Li, Hongbo. "Estimation and Control of the Geometric Error in a Linear Interpolator With Parabola Blending." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62877.

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Given a sequence of G01 codes, a linear interpolator outputs a refined sequence of G01 codes obeying the inequality constraints imposed upon the velocity, acceleration, etc., of the machining tool, and the tracking error, geometric error, etc., between the two sequences. While the output G01 sequence is usually obtained from a continuous motion by sampling along the trajectory by a constant interpolation period, a simple strategy of generating the blending curve between two concatenated line segments under the velocity and axis-wise acceleration constraints of the machining tool, is to use par
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Kojic, V., and Z. Lukac. "Solving Profit Maximization Problem in Case of the Cobb-Douglas Production Function via Weighted AG Inequality and Geometric Programming." In 2018 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM). IEEE, 2018. http://dx.doi.org/10.1109/ieem.2018.8607446.

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Burns, Scott A. "Optimal Design With a Monomial-Based Version of Newton’s Method." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0084.

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Abstract A monomial-based method for solving systems of algebraic nonlinear equations is presented. The method uses the arithmetic-geometric mean inequality to construct a system of monomial equations that approximates the system of nonlinear equations. This “monomial method” is closely related to Newton’s method, yet exhibits many special properties not shared by Newton’s method that enhance performance. These special properties are discussed in relation to engineering design optimization.
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Reports on the topic "Geometric inequality"

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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003370.

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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003372.

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Schulz, Jan, Daniel Mayerhoffer, and Anna Gebhard. A Network-Based Explanation of Perceived Inequality. Otto-Friedrich-Universität, 2021. http://dx.doi.org/10.20378/irb-49393.

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Across income groups and countries, the public perception of economic inequality and many other macroeconomic variables such as inflation or unemployment rates is spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actual inequality informing redistributive preferences. The prevalence of this phenomenon is independent of social class and welfare regime, which suggests the existence of a common mechanism behind public perceptions. We propose a network-based explanation of perceived inequality building on recent advances in random geometri
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