Results 31 to 40 of about 11,297,589 (365)
On φ-convexity of convex functions
Linear Algebra and its Applications, 1998 AbstractWe construct a non-trivial set φ of extended-real valued functions on Rn, containing all affine functions, such that an extended-real valued function f on Rn is convex if and only if it is φ-convex in the sense of Dolecki and Kurcyusz, i.e., the (pointwise) supremum of some subset of φ. Also, we prove a new sandwich theorem.
Ivan Singer +1 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
core +2 more sources
Petrović-Type Inequalities for Harmonic h-convex Functions
, 2020 In the article, we establish several Petrovic-type inequalities for the harmonic - convex (concave) function if is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove
Imran Abbas Baloch, Y. Chu
semanticscholar +1 more source
2D approximately reciprocal ρ-convex functions and associated integral inequalities
, 2020 The main objective of this article is to introduce the notion of 2D approximately reciprocal ρ-convex functions, show that this class of functions unifies several other unrelated classes of reciprocal convex functions, obtain several new refinements of ...
M. U. Awan +4 more
semanticscholar +1 more source
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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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
doaj +1 more source
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
doaj +1 more source
Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 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
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 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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