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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On strongly convex functions [PDF]
Carpathian Journal of Mathematics, 2016 The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity.
Házy, Attila, Makó, Judit
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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 convex functions, Moreau envelopes and the generic nature of convex functions with strong minimizers [PDF]
SIAM Journal on Optimization, 2015 In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence.
Planiden, Chayne, Wang, Xianfu
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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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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 Properties of Generalized Strongly Harmonic Convex Functions
International Journal of Analysis and Applications, 2018 In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions.
Muhammad Aslam Noor +3 more
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Hermite-Hadamard type inequalities for Wright-convex functions of several variables [PDF]
Opuscula Mathematica, 2015 We present Hermite-Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices.
Dorota Śliwińska, Szymon Wąsowicz
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Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions
Journal of Mathematics, 2021 In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex,
Shasha Li +3 more
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On some fractional integral inequalities for generalized strongly modified $h$-convex functions
AIMS Mathematics, 2020 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties.
Peiyu Yan +4 more
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