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1

Wanjala Victor and Beatrice Adhiambo Obiero. "On class (n, mBQ) Operators." World Journal of Advanced Research and Reviews 11, no. 2 (2021): 053–57. http://dx.doi.org/10.30574/wjarr.2021.11.2.0356.

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In this paper, we introduce the class of (n, mBQ) operators acting on a complex Hilbert space H. An operator if T ∈ B (H) is said to belong to class (n, mBQ) if T ∗2mT 2n commutes with (T ∗mTn ) 2 equivalently [T ∗2mT 2n, (T ∗mTn)2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. Have. We analyze the relation of this class to (n,m)-power class (Q) operators.
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2

Wanjala, Victor, and Adhiambo Obiero Beatrice. "On class (n, mBQ) Operators." World Journal of Advanced Research and Reviews 11, no. 2 (2021): 053–57. https://doi.org/10.5281/zenodo.5202978.

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In this paper, we introduce the class of (n, mBQ) operators acting on a complex Hilbert space H. An operator if T &isin; B (H) is said to belong to class (n, mBQ) if T&nbsp;<sup>&lowast;2m</sup>T&nbsp;<sup>2n</sup>&nbsp;commutes with (T&nbsp;<sup>&lowast;m</sup>T<sup>n&nbsp;</sup>)&nbsp;<sup>2</sup>&nbsp;equivalently [T&nbsp;<sup>&lowast;2m</sup>T&nbsp;<sup>2n</sup>, (T&nbsp;<sup>&lowast;m</sup>T<sup>n</sup>)<sup>2</sup>] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. Have. We analyze the relation of this class to (n,m)-power class (Q) operato
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3

Burýšková, Věra, and Slavomír Burýšek. "On solvability of nonlinear operator equations and eigenvalues of homogeneous operators." Mathematica Bohemica 121, no. 3 (1996): 301–14. http://dx.doi.org/10.21136/mb.1996.125984.

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4

Miheşan, Vasile. "Modified Beta approximating operators of the first and second kind." Journal of Numerical Analysis and Approximation Theory 38, no. 1 (2009): 65–71. http://dx.doi.org/10.33993/jnaat381-902.

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By using the modified beta distributions of the first kind (MB1) and of the second kind (MB2) we obtain a general class of modified beta first kind operators and modified beta second kind operators.We obtain several positive linear operators as a special case of these modified beta operators.
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5

Akbulut, Ali, Vagif Guliyev, and Rza Mustafayev. "On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces." Mathematica Bohemica 137, no. 1 (2012): 27–43. http://dx.doi.org/10.21136/mb.2012.142786.

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6

Carnielli, Walter, Marcelo E. Coniglio, and Abilio Rodrigues. "Recovery operators, paraconsistency and duality." Logic Journal of the IGPL 28, no. 5 (2019): 624–56. http://dx.doi.org/10.1093/jigpal/jzy054.

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Abstract There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express metalogical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the logics of formal inconsistency (LFIs) and by the logics of formal undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover the validity of the principle of excluded middle in a
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7

Sharma, Rupa Rani, R. K. Mishra, and Sudesh Kumar Garg. "The Q-MBS Operators in a linear positive operator Voronovskaya style asymptotic formula." Journal of Physics: Conference Series 2007, no. 1 (2021): 012064. http://dx.doi.org/10.1088/1742-6596/2007/1/012064.

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8

Le-Clech, P., A. Fane, G. Leslie, and A. Childress. "MBR focus: the operators' perspective." Filtration & Separation 42, no. 5 (2005): 20–23. http://dx.doi.org/10.1016/s0015-1882(05)70556-5.

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9

Othman, Sadoon Ibrahim. "Nearly equivalent operators." Mathematica Bohemica 121, no. 2 (1996): 133–41. http://dx.doi.org/10.21136/mb.1996.126110.

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10

Švrček, Filip. "Operators on $GMV$-algebras." Mathematica Bohemica 129, no. 4 (2004): 337–47. http://dx.doi.org/10.21136/mb.2004.134044.

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11

Zelinka, Bohdan. "A remark on graph operators." Mathematica Bohemica 124, no. 1 (1999): 83–85. http://dx.doi.org/10.21136/mb.1999.125973.

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12

Harlenderová, Magdalena, and Jiří Rachůnek. "Modal operators on MV-algebras." Mathematica Bohemica 131, no. 1 (2006): 39–48. http://dx.doi.org/10.21136/mb.2006.134083.

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13

Arora, S. C., Gopal Datt, and Satish Verma. "Operators on Lorentz sequence spaces." Mathematica Bohemica 134, no. 1 (2009): 87–98. http://dx.doi.org/10.21136/mb.2009.140643.

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14

Tripathi, Gyan Prakash, and Nand Lal. "Antinormal composition operators on $ \mbf{\ell^2}$." Tamkang Journal of Mathematics 39, no. 4 (2008): 347–52. http://dx.doi.org/10.5556/j.tkjm.39.2008.9.

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A bounded linear operator $ T $ on a Hilbert space $ H $ is called antinormal if the distance of $ T $ from the set of all normal operators is equal to norm of $ T $. In this paper, we give a complete characterization of antinormal composition operators on $ \ell^2 $, where $ \ell^2 $ is the Hilbert space of all square summable sequences of complex numbers under standard inner product on it.
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15

Pták, Vlastimil. "Factorization of Toeplitz and Hankel operators." Mathematica Bohemica 122, no. 2 (1997): 131–45. http://dx.doi.org/10.21136/mb.1997.125920.

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16

Kórus, Péter, Juan Eduardo Nápoles Valdés, and Bahtiyar Bayraktar. "Weighted Hermite–Hadamard integral inequalities for general convex functions." Mathematical Biosciences and Engineering 20, no. 11 (2023): 19929–40. http://dx.doi.org/10.3934/mbe.2023882.

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&lt;abstract&gt;&lt;p&gt;In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the $ k $-Riemann–Liouville fractional integral operators. The functions for which the operators were considered satisfy various conditions such as the $ h $-convexity, modified $ h $-convexity and $ s $-convexity.&lt;/p&gt;&lt;/abstract&gt;
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17

Drahovský, Štefan, and Michal Zajac. "Hyperreflexive operators on finite dimensional Hilbert spaces." Mathematica Bohemica 118, no. 3 (1993): 249–54. http://dx.doi.org/10.21136/mb.1993.125929.

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18

Mikulski, W. M. "Natural differential operators between some natural bundles." Mathematica Bohemica 118, no. 2 (1993): 153–61. http://dx.doi.org/10.21136/mb.1993.126052.

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19

Došlý, Ondřej, and Roman Hilscher. "Spectral properties of fourth order differential operators." Mathematica Bohemica 122, no. 2 (1997): 153–68. http://dx.doi.org/10.21136/mb.1997.125911.

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20

Medková, Dagmar. "Reflected double layer potentials and Cauchy's operators." Mathematica Bohemica 123, no. 3 (1998): 295–300. http://dx.doi.org/10.21136/mb.1998.126069.

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21

Peňa, Simón. "Discrete spectra criteria for singular difference operators." Mathematica Bohemica 124, no. 1 (1999): 35–44. http://dx.doi.org/10.21136/mb.1999.125980.

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22

Aqzzouz, Belmesnaoui, and Jawad Hmichane. "Some results on order weakly compact operators." Mathematica Bohemica 134, no. 4 (2009): 359–67. http://dx.doi.org/10.21136/mb.2009.140668.

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23

Jiménez, Luis IGnacio, Javier Plaza, and Antonio Plaza. "Efficient implementation of morphological index for building-shadow extraction from remotely sensed images." Journal of Supercomputing 73 (October 20, 2016): 482–94. https://doi.org/10.1007/s11227-016-1890-9.

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Morphological building index (MBI) and morphological shadow index (MSI) are recently developed techniques that aim at automatically detect buildings/shadows using high-resolution remotely sensed imagery. The traditional mathematical morphology operations are usually time-consuming as they are based on the consideration of a wide range of image-object properties, such as brightness, contrast, shapes, sizes, and in the application of series of repeated transformations (e.g., classical opening and closing operators). In the case of MBI and MSI, the computational complexity is also increased due t
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24

Mohammed, Pshtiwan Othman, Christopher S. Goodrich, Aram Bahroz Brzo, Dumitru Baleanu, and Yasser S. Hamed. "New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel." Mathematical Biosciences and Engineering 19, no. 4 (2022): 4062–74. http://dx.doi.org/10.3934/mbe.2022186.

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&lt;abstract&gt;&lt;p&gt;This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The $ \nu- $monotonicity definitions, namely $ \nu- $(strictly) increasing and $ \nu- $(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with $ \nu- $monotonicity definitions, we find that the investigated discrete fractional operators will be $ \nu^2- $(strictly) increasing or $ \nu^2- $(strictly) decreasing in certain domains of the time scale $ \mathbb{N}_a: = \{a, a
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25

Rachůnek, Jiří, and Zdeněk Svoboda. "Monotone modal operators on bounded integral residuated lattices." Mathematica Bohemica 137, no. 3 (2012): 333–45. http://dx.doi.org/10.21136/mb.2012.142898.

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26

Bouras, Khalid, Abdelmonaim El Kaddouri, Jawad H'michane, and Mohammed Moussa. "On the class of order Dunford-Pettis operators." Mathematica Bohemica 138, no. 3 (2013): 289–97. http://dx.doi.org/10.21136/mb.2013.143438.

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27

Bouali, Said, and Youssef Bouhafsi. "On the range-kernel orthogonality of elementary operators." Mathematica Bohemica 140, no. 3 (2015): 261–69. http://dx.doi.org/10.21136/mb.2015.144393.

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28

Komorník, Jozef, and Erik G. F. Thomas. "Asymptotic periodicity of Markov operators on signed measures." Mathematica Bohemica 116, no. 2 (1991): 174–80. http://dx.doi.org/10.21136/mb.1991.126138.

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29

Schwabik, Štefan. "Linear operators in the space of regulated functions." Mathematica Bohemica 117, no. 1 (1992): 79–92. http://dx.doi.org/10.21136/mb.1992.126231.

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30

Rachůnek, Jiří, and Dana Šalounová. "Modal operators on bounded residuated $\rm l$-monoids." Mathematica Bohemica 133, no. 3 (2008): 299–311. http://dx.doi.org/10.21136/mb.2008.140619.

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31

Amouch, M., and H. Zguitti. "B-Fredholm and Drazin invertible operators through localized SVEP." Mathematica Bohemica 136, no. 1 (2011): 39–49. http://dx.doi.org/10.21136/mb.2011.141448.

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32

Raj, Kuldip, and Sunil K. Sharma. "Composition operators on Musielak-Orlicz spaces of Bochner type." Mathematica Bohemica 137, no. 4 (2012): 449–57. http://dx.doi.org/10.21136/mb.2012.142999.

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33

Berkani, M., and D. Medková. "A note on the index of $B$-Fredholm operators." Mathematica Bohemica 129, no. 2 (2004): 177–80. http://dx.doi.org/10.21136/mb.2004.133905.

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34

Marraffa, V. "On weakly measurable stochastic processes and absolutely summing operators." Mathematica Bohemica 131, no. 4 (2006): 379–91. http://dx.doi.org/10.21136/mb.2006.133972.

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35

Wang, Li, Changyuan Wang, Yu Zhang, and Lina Gao. "An integrated neural network model for eye-tracking during human-computer interaction." Mathematical Biosciences and Engineering 20, no. 8 (2023): 13974–88. http://dx.doi.org/10.3934/mbe.2023622.

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&lt;abstract&gt; &lt;p&gt;Improving the efficiency of human-computer interaction is one of the critical goals of intelligent aircraft cockpit research. The gaze interaction control method can vastly reduce the manual operation of operators and improve the intellectual level of human-computer interaction. Eye-tracking is the basis of sight interaction, so the performance of eye-tracking will directly affect the outcome of gaze interaction. This paper presents an eye-tracking method suitable for human-computer interaction in an aircraft cockpit, which can now estimate the gaze position of operat
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36

Karsokiene, R., and A. Giedraitis. "Systematic Post Crisis Tourism Supply Chain Transformation Towards Resilience in the Context of Tour Operators." European Journal of Studies in Management and Business 28 (December 2023): 17–38. http://dx.doi.org/10.32038/mbrq.2023.28.02.

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The significance of this manuscript lies in the aftermath of the COVID-19 pandemic, officially declared by the World Health Organization (WHO) on the 30th of March, 2020, and its persistent influence on a global scale even after a span of three years. This unprecedented event has instigated impediments across diverse economic domains, with tourism and its intricate supply chains emerging as the most severely affected. The executed investigation delves into intra-organizational transformations within the framework of tourism supply chain management, particularly through the lens of tour operato
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37

Karsokiene, R., and A. Giedraitis. "Systematic Post Crisis Tourism Supply Chain Transformation Towards Resilience in the Context of Tour Operators." European Journal of Studies in Management and Business 28 (October 22, 2023): 17–38. https://doi.org/10.32038/mbrq.2023.28.02.

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The significance of this manuscript lies in the aftermath of the COVID-19 pandemic, officially declared by the World Health Organization (WHO) on the 30th of March, 2020, and its persistent influence on a global scale even after a span of three years. This unprecedented event has instigated impediments across diverse economic domains, with tourism and its intricate supply chains emerging as the most severely affected. The executed investigation delves into intra-organizational transformations within the framework of tourism supply chain management, particularly through the lens of tour operato
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38

Dalík, Josef. "Operators approximating partial derivatives at vertices of triangulations by averaging." Mathematica Bohemica 135, no. 4 (2010): 363–72. http://dx.doi.org/10.21136/mb.2010.140827.

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39

Aqzzouz, Belmesnaoui, Othman Aboutafail, Taib Belghiti, and Jawad H'michane. "The $\rm b$-weak compactness of weak Banach-Saks operators." Mathematica Bohemica 138, no. 2 (2013): 113–20. http://dx.doi.org/10.21136/mb.2013.143283.

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40

Kolomý, Josef. "Some properties of monotone type multivalued operators in Banach spaces." Mathematica Bohemica 118, no. 3 (1993): 325–36. http://dx.doi.org/10.21136/mb.1993.125926.

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41

Zajac, Michal. "On reflexivity and hyperreflexivity of some spaces of intertwining operators." Mathematica Bohemica 133, no. 1 (2008): 75–83. http://dx.doi.org/10.21136/mb.2008.133939.

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42

Akram, Muhammad, Ayesha Khan, Uzma Ahmad, José Carlos R. Alcantud, and Mohammed M. Ali Al-Shamiri. "A new group decision-making framework based on 2-tuple linguistic complex $ q $-rung picture fuzzy sets." Mathematical Biosciences and Engineering 19, no. 11 (2022): 11281–323. http://dx.doi.org/10.3934/mbe.2022526.

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&lt;abstract&gt;&lt;p&gt;The need for multi-attribute decision-making brings more and more complexity, and this type of decision-making extends to an ever wider range of areas of life. A recent model that captures many components of decision-making frameworks is the complex $ q $-rung picture fuzzy set (C$ q $-RPFS), a generalization of complex fuzzy sets and $ q $-rung picture fuzzy sets. From a different standpoint, linguistic terms are very useful to evaluate qualitative information without specialized knowledge. Inspired by the ease of use of the linguistic evaluations by means of 2-tuple
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43

Aqzzouz, Belmesnaoui, Aziz Elbour, and Mohammed Moussa. "On the equality between some classes of operators on Banach lattices." Mathematica Bohemica 137, no. 3 (2012): 347–54. http://dx.doi.org/10.21136/mb.2012.142899.

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44

Brown, R. C., and D. B. Hinton. "Two separation criteria for second order ordinary or partial differential operators." Mathematica Bohemica 124, no. 2 (1999): 273–92. http://dx.doi.org/10.21136/mb.1999.126251.

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45

Aqzzouz, Belmesnaoui, and Aziz Elbour. "Some characterizations of order weakly compact operator." Mathematica Bohemica 136, no. 1 (2011): 105–12. http://dx.doi.org/10.21136/mb.2011.141454.

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46

Medková, Dagmar. "On essential norm of the Neumann operator." Mathematica Bohemica 117, no. 4 (1992): 393–408. http://dx.doi.org/10.21136/mb.1992.126064.

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47

Molnár, Lajos. "Locally inner derivations of standard operator algebras." Mathematica Bohemica 121, no. 1 (1996): 1–7. http://dx.doi.org/10.21136/mb.1996.125942.

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48

Heinig, Hans P. "Modular inequalities for the Hardy averaging operator." Mathematica Bohemica 124, no. 2 (1999): 231–44. http://dx.doi.org/10.21136/mb.1999.126254.

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49

Rachůnková, Irena, and Milan Tvrdý. "Periodic singular problem with quasilinear differential operator." Mathematica Bohemica 131, no. 3 (2006): 321–36. http://dx.doi.org/10.21136/mb.2006.134137.

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50

Michelotto, André Luiz da Costa, Rafaella Ronchi Zinelli, Patricia Maria Poli Kopper, and Antonio Maria Poli Batista. "Use of Biodentine in the resolution of a failure in paraendodontic surgery." Research, Society and Development 11, no. 15 (2022): e125111536916. http://dx.doi.org/10.33448/rsd-v11i15.36916.

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To present a clinical case report of successful endodontic retreatment, in a maxillary first molar, with symptomatic apical periodontitis in the mesiobuccal root that had already undergone endodontic treatment and paraendodontic surgery. A patient was referred for evaluation of upper right first molar with swelling, severe pain and sensitivity to percussion and palpation. She reported having undergone endodontic treatment 1 year ago and, 6 months later, when the symptoms returned, a paraendodontic surgery was performed by the same professional. A cone-beam computed tomography (CBCT) was reques
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