Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]
HeliyonIt is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi +4 more
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Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space [PDF]
Abstract and Applied Analysis, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +3 more
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Advancements in Bullen-type inequalities via fractional integral operators and their applications [PDF]
HeliyonIn this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals.
Muhammad Samraiz +5 more
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On some classical integral inequalities in the setting of new post quantum integrals
AIMS Mathematics, 2023 In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin +6 more
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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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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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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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