Results 11 to 20 of about 24,937 (297)
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 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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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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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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Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions
Journal of Function Spaces, 2022 The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
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Coefficient Inequalities for Strongly Close-to-Convex Functions
Journal of Mathematical Analysis and Applications, 1997 Let \(f(z)=z+a_2 z^2+a_3 z^3+ \cdots\) be a normalized, strongly close-to-convex function of order \(\alpha\) on the unit disk. This means that there exist a normalized convex univalent function \(\varphi\) and a real number \(\beta\) such that \(|\arg {f'(z) \over e^{i\beta} \varphi'(z)} |
Ma, William, Minda, David
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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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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 p-Valently Meromorphic-Strongly Starlike and Convex Functions
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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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. Finally a connection will be proved between the Jensen error term and an useful error function.
Házy, Attila, Makó, Judit
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