Results 71 to 80 of about 4,682 (150)
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
Journal of Function Spaces, 2018 We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan +3 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq +5 more
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More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity
Journal of Inequalities and Applications, 2010 New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Farid G +2 more
doaj
INTEGRAL INEQUALITIES OF HERMITE – HADAMARD TYPE FOR ((α, m), log)-CONVEX FUNCTIONS ON CO–ORDINATES
Проблемы анализа, 2015 The convexity of functions is a basic concept in mathematics and it has been generalized in various directions. Establishing integral inequalities of Hermite – Hadamard type for various convex functions is one of main topics in the theory of convex ...
Bo-Yan Xi, Feng Qi
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Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications
Universal Journal of Mathematics and ApplicationsFractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir +2 more
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On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes
Fractal and FractionalIn this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani +3 more
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Miskolc Mathematical NotesIn this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions.
Tingsong Du, Lei Xu
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Journal of Inequalities and ApplicationsThis article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran +3 more
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On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Mathematics, 2019 In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam +3 more
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