Results 1 to 10 of about 3,295 (245)
Several integral inequalities for (α, s,m)-convex functions
AIMS Mathematics, 2020 In this paper, we establish several new integral inequalities for (α, s,m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case.
M. Emin Özdemir +3 more
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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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Alexandria Engineering Journal, 2023 The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo +4 more
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Lower bound estimates of blow-up time for a quasilinear hyperbolic equation with superlinear sources
Comptes Rendus. Mécanique, 2020 This paper deals with the lower bound for blow-up solutions to a quasilinear hyperbolic equation with strong damping. An inverse Hölder inequality with a correction constant is employed to overcome the difficulty caused by the failure of the embedding ...
Zu, Ge, Li, Fang
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On Hermite-Hadamard type inequalities for n-polynomial convex stochastic processes
AIMS Mathematics, 2021 In this note, our purpose is to introduce the concept of n-polynomial convex stochastic processes and study some of their algebraic properties. We establish new refinements for integral version of Hölder and power mean inequality.
Haoliang Fu +4 more
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Extensions and demonstrations of Hölder’s inequality
Journal of Inequalities and Applications, 2019 In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Advanced Nonlinear Studies, 2023 We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m2m with certain lower order terms.
Barton Ariel E., Duffy Michael J.
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New refinements for integral and sum forms of Hölder inequality
Journal of Inequalities and Applications, 2019 In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
İmdat İşcan
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Advances in Difference Equations, 2021 In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
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