Results 21 to 30 of about 477,899 (203)
New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
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Continued fractions built from convex sets and convex functions [PDF]
, 2014 In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
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On the Co-Ordinated Convex Functions [PDF]
Applied Mathematics & Information Sciences, 2014 In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.
Ozdemir, M. Emin +2 more
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On some first-order differential subordination
Journal of the Egyptian Mathematical Society, 2014 Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that Re{f′(z)+zf″(z)-β}>α in D.
M. Nunokawa +4 more
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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 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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Inequalities of Hermite-Hadamard Type for GG-Convex Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
Dragomir S. S.
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
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Modulus of convexity for operator convex functions [PDF]
Journal of Mathematical Physics, 2014 Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)f(y) − f(cx + (1 − c)y), c ∈ [0, 1]. The lower bound is expressed in terms of the matrix Bregman divergence. A similar inequality is shown to be false for functions that are convex but not operator convex.
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On uniformly convex functions [PDF]
Journal of Mathematical Analysis and Applications, 2022 Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexity is inherited by the convex envelope, which is the key to obtain other remarkable properties such as the coercivity.
M. Raja, Guillaume Grelier
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