Results 11 to 20 of about 3,710 (260)

Hölder Continuity of a Parametric Generalized Variational Inequality [PDF]

open access: yesAbstract and Applied Analysis, 2014
By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the
Li-na Wang, Xiao-bing Li
doaj   +2 more sources

Refinements of the Converse Hölder and Minkowski Inequalities

open access: yesMathematics, 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
doaj   +2 more sources

Triple Diamond-Alpha integral and Hölder-type inequalities

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
doaj   +2 more sources

A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
In a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established. This inequality is originated from the Brézis-Gallouët-Wainger logarithmic type inequalities revealing Sobolev embeddings in the critical ...
H. Ibrahim
doaj   +2 more sources

Hölder Type Inequalities for Sugeno Integrals under Usual Multiplication Operations

open access: yesAdvances in Fuzzy Systems, 2019
The classical Hölder inequality shows an interesting upper bound for Lebesgue integral of the product of two functions. This paper proposes Hölder type inequalities and reverse Hölder type inequalities for Sugeno integrals under usual multiplication ...
Dug Hun Hong, Jae Duck Kim
doaj   +2 more sources

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]

open access: yesHeliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman   +4 more
doaj   +2 more sources

Inequalities in Riemann–Lebesgue Integrability

open access: yesMathematics, 2023
In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru   +3 more
doaj   +1 more source

A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality

open access: yesAxioms, 2023
For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Çetin Yildiz   +2 more
doaj   +1 more source

Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa   +2 more
doaj   +1 more source

Some new inequalities for (α,m1,m2 )-GA convex functions

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
doaj   +1 more source

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