Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus [PDF]
, 2020 summary:The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive ...
Sahir, Muhammad Jibril Shahab
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Generalizations of Ostrowski type inequalities via F-convexity
AIMS Mathematics, 2022 The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci +3 more
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On Hardy-Hilbert-type inequalities with α-fractional derivatives
AIMS Mathematics, 2023 In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature.
Marwa M. Ahmed +4 more
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Integral inequalities for hyperbolic type preinvex functions
AIMS Mathematics, 2021 In this work, we establish the concept of a new class of non-convex functions, namely hyperbolic type preinvex functions. Secondly few algebraic properties of this class are obtained.
Sarah Elahi , Muhammad Aslam Noor
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On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions
AIMS Mathematics, 2022 In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied.
Muhammad Samraiz +4 more
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Inequalities of Schwarz and Hölder type for random operators [PDF]
Journal of Mathematical Physics, 1985 Let A and B be random operators on a Hilbert space, and let 〈 〉 denote averages (expectations). We prove the inequality ∥〈A*B〉∥≤∥〈A*A〉∥1/2∥〈B*B 〉∥1/2. A generalized Hölder inequality involving traces is also proved.
openaire +4 more sources
Subelliptic Bourgain-Brezis Estimates on Groups [PDF]
, 2008 We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group.
Chanillo, Sagun, Van Schaftingen, Jean
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Some new Hardy-Hilbert-type inequalities with multiparameters
AIMS Mathematics, 2022 The purpose of this paper is to build some new Hardy-Hilbert-type inequalities with multiparameters and their equivalent forms and variants, which generalize some existing results. Similarly, the corresponding Hardy-Hilbert-type integral inequalities are
Limin Yang, Ruiyun Yang
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Fractional Reverse Coposn's Inequalities via Conformable Calculus on Time Scales [PDF]
, 2021 This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson's type inequalities on time scales.
Abd El-Hamid, Hoda A. +5 more
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