Results 11 to 20 of about 807,538 (297)
Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions [PDF]
Annales Mathematicae Silesianae, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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\(h\)-strongly \(E\)-convex functions [PDF]
Journal of Numerical Analysis and Approximation Theory, 2011 Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A.
Daniela Marian
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Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers [PDF]
SIAM Journal on Optimization, 2016 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. We show that the set of strongly convex functions is dense but it is only of the first category.
Planiden, Chayne, Wang, Xianfu
semanticscholar +7 more sources
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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Ostrowski-type inequalities for strongly convex functions [PDF]
Georgian Mathematical Journal, 2017 Abstract In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.
Set, Erhan +6 more
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On strongly generalized convex functions [PDF]
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
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A Note on Generalized Strongly p-Convex Functions of Higher Order [PDF]
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
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Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions [PDF]
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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New Inequalities for Strongly r-Convex Functions [PDF]
Journal of Function Spaces, 2019 In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions.
Huriye Kadakal
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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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