Results 21 to 30 of about 482,837 (303)

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

open access: yesMathematics 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
doaj   +1 more source

Continued fractions built from convex sets and convex functions [PDF]

open access: yes, 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
core   +2 more sources

On the Co-Ordinated Convex Functions [PDF]

open access: yesApplied 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
openaire   +8 more sources

On some first-order differential subordination

open access: yesJournal 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
doaj   +1 more source

On some fractional integral inequalities for generalized strongly modified $h$-convex functions

open access: yesAIMS 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
doaj   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

open access: yesMathematics, 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
doaj   +1 more source

Compositions and Averages of Two Resolvents: Relative Geometry of Fixed Points Sets and a Partial Answer to a Question by C. Byrne [PDF]

open access: yes, 2010
We show that the set of fixed points of the average of two resolvents can be found from the set of fixed points for compositions of two resolvents associated with scaled monotone operators.
Bauschke, Heinz H., Wang, Xianfu
core   +1 more source

Inequalities of Hermite-Hadamard Type for GG-Convex Functions

open access: yesAnnals 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.
doaj   +1 more source

Convex combinations, barycenters and convex functions [PDF]

open access: yesJournal of Inequalities and Applications, 2013
The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
openaire   +3 more sources

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

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