Results 11 to 20 of about 46,401 (165)
Advances in Difference Equations, 2021 This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined ( α , h − m ) $(\alpha ,h-m)$ -convex function. The established results give refinements of fractional integral inequalities for ( h − m ) $(
Chahn Yong Jung +4 more
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Fractal and Fractional, 2022 In this paper, a new type of convexity is defined, namely, the left–right-(k,h-m)-p IVM (set-valued function) convexity. Utilizing the definition of this new convexity, we prove the Hadamard inequalities for noninteger Katugampola integrals.
Vuk Stojiljković +3 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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Study of fractional integral inequalities involving Mittag-Leffler functions via convexity
Journal of Inequalities and Applications, 2020 This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for ( α , h − m ) $(\alpha, h-m)
Zhihua Chen +4 more
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A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
Проблемы анализа, 2019 A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian +2 more
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Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions
IEEE Access, 2020 Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
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Journal of Mathematics, 2021 Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex ...
Xishan Yu +3 more
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Inequalities via generalized h-convex functions
Issues of Analysis, 2018 Summary: In the paper, we establish some new Hermite-Hadamard-Fejér type inequalities via generalized \(h\)-convex functions, Toader-like convex functions and their variant forms. Several special cases are also discussed. Results proved in this paper can be viewed as significant new contributions in this field.
M. A. Noor, K. I. Noor, F. Safdar
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Some new inequalities for differentiable h-convex functions and applications [PDF]
Miskolc Mathematical Notes, 2021 In this paper, the authors established a new identity for differentiable functions, afterwards they obtained some new inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. Also they give some applications for special means for arbitrary positive numbers.
Cakmak, Musa +2 more
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Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
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