Results 51 to 60 of about 390,218 (207)
Some Fractional Integral Inequalities Involving Mittag-Kernels
Journal of Mathematics, 2022 This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting
Xiujun Zhang +4 more
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The Orlicz Brunn–Minkowski inequality
Advances in Mathematics, 2014 The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang and Zhang, being an extension of the classical Brunn-Minkowski theory. It represents a generalization of the \(L_p\)-Brunn-Minkowski theory. For a convex, strictly increasing \(\phi:[0,\infty]\longrightarrow [0,\infty)\), with \(\phi(0)=0\) and \(K,L\) convex and compact sets containing ...
Xi, Dongmeng +2 more
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The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity
Journal of Function Spaces, 2020 In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong.
Wei Wang, Juan Li, Rigao He, Lijuan Liu
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Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals
Journal of Inequalities and Applications, 2019 Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
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Enlarged integral inequalities through recent fractional generalized operators
Journal of Inequalities and Applications, 2022 This paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings.
Abd-Allah Hyder +2 more
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The log-Brunn–Minkowski inequality
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.) +3 more
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Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Abramovich, S. +2 more
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Some inequalities via fractional conformable integral operators
Journal of Inequalities and Applications, 2019 In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by Dahmani and Bougoffa cited in the literature.
Kottakkaran Sooppy Nisar +3 more
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Traveling Fronts for (q,r)$(q, r)$‐Relativistic Operators: Existence and Asymptotic Properties
Mathematische Nachrichten, EarlyView.ABSTRACT A new reaction–diffusion model governed by a (q,r)$(q, r)$‐relativistic type diffusion, generalizing the p$p$‐relativistic one and encompassing singular and/or degenerate diffusivity, is introduced. In the monostable case, some existence results for (decreasing) fronts are then provided, exploiting the study of a suitable two‐point problem ...
Pavel Drábek +2 more
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Refinements of some classical inequalities via superquadraticity [PDF]
, 2022 Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type.
Varosanec, Sanja, +11 more
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