Results 21 to 30 of about 183,031 (208)
A Note on Generalized Strongly p-Convex Functions of Higher Order
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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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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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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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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Ostrowski Type Inequalities for $n$-Times Strongly $m$-$MT$-Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce the class of strongly $m$--$MT$-convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the Ostrowski-type for functions whose $n^{th}$ derivatives are strongly $m$--$MT ...
Badreddine Meftah, Chayma Marrouche
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Semi Strongly E-Convex Functions [PDF]
Journal of Mathematics and Statistics, 2005 In this study a new class of functions, called semi strongly E-convex functions, and generalized semi strongly E-convex functions are defined .We discuss some their basic properties and obtain sufficient optimality criteria for nonlinear programming problems involving these functions.
E.A. Youness, Tarek Emam
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Strongly hyperbolically convex functions
Journal of Mathematical Analysis and Applications, 2007 Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
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Around Jensen’s inequality for strongly convex functions [PDF]
Aequationes mathematicae, 2017 In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special means are pointed out as well. We also give a Jensen's operator inequality for strongly convex functions.
Moradi, Hamid Reza +3 more
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Implementation of an Optimal First-Order Method for Strongly Convex Total Variation Regularization [PDF]
, 2011 We present a practical implementation of an optimal first-order method, due to Nesterov, for large-scale total variation regularization in tomographic reconstruction, image deblurring, etc.
A. Beck +38 more
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Advances in Difference Equations, 2021 Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
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