Academic literature on the topic 'Steffensen's inequality'

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Journal articles on the topic "Steffensen's inequality"

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Fahad, Asfand, Josip Pečarić, and Marjan Praljak. "Generalized Steffensen's inequality." Journal of Mathematical Inequalities, no. 2 (2015): 481–87. http://dx.doi.org/10.7153/jmi-09-41.

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Mercer, Peter R. "Extensions of Steffensen's Inequality." Journal of Mathematical Analysis and Applications 246, no. 1 (2000): 325–29. http://dx.doi.org/10.1006/jmaa.2000.6822.

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El-Khatib, Mohammed S., Atta A. K. Abu Hany, Mohammed M. Matar, Manar A. Alqudah, and Thabet Abdeljawad. "On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense." AIMS Mathematics 8, no. 1 (2023): 2062–82. http://dx.doi.org/10.3934/math.2023106.

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<abstract><p>By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.</p></abstract>
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Awan, K. M., Josip Pečarić, and Atiq Ur Rehman. "Steffensen's generalization of Čebyšev inequality." Journal of Mathematical Inequalities, no. 1 (2015): 155–63. http://dx.doi.org/10.7153/jmi-09-15.

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Jakšetić, Julije, and Josip Pečarić. "Steffensen's inequality for positive measures." Mathematical Inequalities & Applications, no. 3 (2015): 1159–70. http://dx.doi.org/10.7153/mia-18-90.

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Jakšetić, Julije, Josip Pečarić, and Ksenija Smoljak Kalamir. "Some measure theoretic aspects of Steffensen's and reversed Steffensen's inequality." Journal of Mathematical Inequalities, no. 2 (2016): 459–69. http://dx.doi.org/10.7153/jmi-10-36.

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Pearce, C. E. M., and J. Peĉarić. "On an extension of Hölder's inequality." Bulletin of the Australian Mathematical Society 51, no. 3 (1995): 453–58. http://dx.doi.org/10.1017/s0004972700014271.

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Ozkan, Umut Mutlu, and Hüseyin Yildirim. "Steffensen's Integral Inequality on Time Scales." Journal of Inequalities and Applications 2007 (2007): 1–11. http://dx.doi.org/10.1155/2007/46524.

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Pečarić, Josip E. "A companion to Jensen-Steffensen's inequality." Journal of Approximation Theory 44, no. 3 (1985): 289–91. http://dx.doi.org/10.1016/0021-9045(85)90099-1.

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Hong, Dug Hun, Eunho L. Moon, and Jae Duck Kim. "Steffensen's Integral Inequality for the Sugeno Integral." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 22, no. 02 (2014): 235–41. http://dx.doi.org/10.1142/s0218488514500111.

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In this paper we consider Steffensen's integral inequality for the Sugeno integral [Formula: see text] where f is a nonincreasing and convex function defined on [0, 1] with f(0) = 1, f(1) = 0 and g is a nonincreasing function defined on [0, 1] where 0 ≤ g(t) ≤ 1 for all t ∈ [a, b] with [Formula: see text]
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Dissertations / Theses on the topic "Steffensen's inequality"

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Weng, Shian J. ang, and 翁憲章. "Application of Steffensen's Inequality." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/61664522547978410422.

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碩士<br>淡江大學<br>數學學系<br>86<br>In 1918, the following inequality first prove by J. F. Steffensen Suppose that f and g are integrable functions defined on (a,b), f is decreas ingand fthat each tε(a,b),0≦g(x)≦1. The following inequalities ╭b ╭b ╭a+λ │ f(x)dx≦│ f(x)g(x)dx ≦│ f(x)dx (0.1)╯b-λ ╯a ╯a ╭b whereλ=│ g(x)dx, are known in the literature as Steffensen's inequality see [1] (or ╯a [2
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Book chapters on the topic "Steffensen's inequality"

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Mitrinović, D. S., J. E. Pečarić, and A. M. Fink. "Steffensen’s Inequality." In Classical and New Inequalities in Analysis. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-1043-5_11.

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Abramovich, Shoshana. "On a Version of Jensen-Steffensen Inequality and a Note on Inequalities in Several Variables." In Exploring Mathematical Analysis, Approximation Theory, and Optimization. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-46487-4_1.

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