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Hermite–Hadamard type inequalities for m-convex and ( α , m ) $( \alpha , m)$ -convex functions [PDF]
Journal of Inequalities and Applications, 2020 In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and ( α , m ) $( \alpha , m) $ -convex are obtained.
Serap Özcan
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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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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions
Journal of Inequalities and Applications, 2020 In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals ...
Xiaoli Qiang +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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Axioms, 2023 Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
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Advances in Difference Equations, 2021 Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
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On generalization of Levinson’s inequality involving averages of 3-convex functions
Journal of Inequalities and Applications, 2023 By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol.
G. Aras-Gazić +2 more
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On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
Axioms, 2023 In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it.
Hari Mohan Srivastava +5 more
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Generalized k-fractional integral inequalities associated with (α,m) $(\alpha ,m)$-convex functions
Journal of Inequalities and Applications, 2019 This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using (α,m) $(\alpha ,m)$-convex functions.
S. M. Kang +5 more
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