Results 1 to 10 of about 225,326 (278)
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
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Majorization theorems for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2019 In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah +2 more
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Strongly ( η , ω ) $(\eta ,\omega )$ -convex functions with nonnegative modulus [PDF]
Journal of Inequalities and Applications, 2020 We introduce a new class of functions called strongly ( η , ω ) $(\eta,\omega)$ -convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex functions.
Ana M. Tameru +2 more
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Some inequalities for strongly $(p,h)$-harmonic convex functions
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
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The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V. +2 more
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A New Advanced Class of Convex Functions with Related Results
Axioms, 2023 It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established.
Muhammad Adil Khan +3 more
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Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions
Fractal and Fractional, 2022 Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of mathematical inequalities.
Tao Yan +4 more
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Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]
Opuscula Mathematica, 2015 Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi +3 more
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On geodesic strongly E-convex sets and geodesic strongly E-convex functions [PDF]
Journal of Inequalities and Applications, 2015 In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed.
Adem Kılıçman, Wedad Saleh
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On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao +4 more
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