Results 21 to 30 of about 351 (135)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with (h, s)−convexity. We introduce the concept of reciprocally strongly (h, s)−convex functions and establish some of their fundamental properties. In addition, we establish various inequalities, including Jensen, Hermite–Hadamard, and
Yujun Wang +4 more
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New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
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Mathematics, 2022 In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ ...
Humaira Kalsoom, Zareen A. Khan
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Note on the weighted midpoint type inequalities having the H\"{o}lder condition [PDF]
, 2021 In this note, some new weighted midpoint type inequalities for H\"{o}lder continuous functions are ...
Bouchemel, D., Meftah, Badreddine
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Generalized Fractional Integral Inequalities for MT‐Non‐Convex and pq‐Convex Functions
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT‐non‐convex functions and pq‐convex functions. Our results extended many inequalities already existing in the literature.
Wei Wang +4 more
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Hermite–Hadamard type inequalities via weighted integral operators [PDF]
, 2023 In this paper, we consider general convex functions of various type. We establish some new integral inequalities of Hermite-Hadamard type for (h, s, m)-convex and (h, m)-convex functions, using generalized integrals.
Kórus Péter +2 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present paper, we deal with some fractional integral inequalities for strongly reciprocally (p, h)‐convex functions. We established fractional version of Hermite‐Hadamard and Fejér type inequalities for strongly reciprocally (p, h)‐convex functions. Our results extend and generalize many exiting results of literate.
Lei Geng +4 more
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Advances in Optimization and Nonlinear Analysis [PDF]
, 2022 The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques.
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, generalized versions of the k‐fractional Hadamard and Fejér‐Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k‐fractional integral operators including the well‐known Mittag‐Leffler function are utilized.
Xiujun Zhang +4 more
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On some inequality of Hermite-Hadamard type [PDF]
, 2011 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
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