Results 31 to 40 of about 196 (170)
Journal of Function Spaces, 2021 The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically ψ-s ...
Hu Ge-JiLe +3 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
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Journal of Function Spaces, 2021 In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt +3 more
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Coefficient Conditions for Harmonic Close‐to‐Convex Functions [PDF]
Abstract and Applied Analysis, 2012 New sufficient conditions, concerned with the coefficients of harmonic functions in the open unit disk 𝕌 normalized by f(0) = h(0) = h′(0) − 1 = 0, for f(z) to be harmonic close‐to‐convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close‐to‐convex functions satisfying the obtained conditions ...
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International Journal of Computational Intelligence Systems, 2022 The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan +4 more
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Convex functions and harmonic maps [PDF]
Proceedings of the American Mathematical Society, 1972 A subset D of a riemannian manifold Y is said to be convex supporting if every compact subset of D has a Y -open neighborhood which supports a strictly convex function.
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
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Mathematics, 2021 Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
The Scientific World Journal, 2014 We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Feixiang Chen, Shanhe Wu
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