Results 11 to 20 of about 7,004,346 (287)
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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Journal of Function Spaces, 2021 In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung +3 more
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On Generalized Strongly p-Convex Functions of Higher Order
Journal of Mathematics, 2020 The aim of this paper is to introduce the definition of a generalized strongly p-convex function for higher order. We will develop some basic results related to generalized strongly p-convex function of higher order.
Muhammad Shoaib Saleem +4 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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New Inequalities for Strongly r-Convex Functions
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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On Riemann–Liouville Integral via Strongly Modified (h,m)-Convex Functions
Fractal and FractionalThe generalization of strongly convex and strongly m-convex functions is presented in this paper. We began by proving the properties of a strongly modified (h,m)-convex function. The Schur inequality and the Hermite–Hadamard (H-H) inequalities are proved
Ali N. A. Koam +5 more
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On strongly generalized convex functions
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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Some Remarks on Close-to-Convex and Strongly Convex Functions
MATHEMATICA SCANDINAVICA, 2015 We consider questions of the following kind: When does boundedness of $|{\arg \{1+zp'(z)/p(z)\}}|$, for a given analytic function $p$, imply boundedness of $|{\arg\{p(z)\}}|$? The paper determines the order of strong close-to-convexity in the class of strongly convex functions.
Trąbka-Więcław, Mamoru Nunokawa, Janusz Sokół, Katarzyna
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\(C^2\)-Lusin approximation of strongly convex functions
Given a strongly convex function mapping from a Euclidean space to the real one, the authors show that for any \(\varepsilon > 0\), there exists a \(C^2\) strongly convex function that is a Lusin-type approximation of the initial one such that the \(\ell^{\infty}\)-norm of the difference of these functions is less than \(\varepsilon\).
Azagra, Daniel +2 more
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions [PDF]
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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