Results 11 to 20 of about 52,428 (305)

Convex Defining Functions for Convex Domains [PDF]

open access: yesJournal of Geometric Analysis, 2010
21 ...
Herbig, Anne-Katrin, McNeal, Jeffery D.
openaire   +3 more sources

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

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

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan   +3 more
doaj   +1 more source

CONVEX MULTIVARIABLE TRACE FUNCTIONS [PDF]

open access: yesReviews in Mathematical Physics, 2002
For any densely defined, lower semi-continuous trace τ on a C*-algebra A with mutually commuting C*-subalgebras A1, A2, … An, and a convex function f of n variables, we give a short proof of the fact that the function (x1, x2, …, xn)→ τ (f (x1, x2, …, xn)) is convex on the space [Formula: see text].
Lieb, E.H., Pedersen, Gert Kjærgård
openaire   +3 more sources

Root Function and Convex Function

open access: yesCommunications Faculty Of Science University of Ankara, 1974
Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
Bilgezadeh, A., Pellong, C.
openaire   +5 more sources

Convex Matrix Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
The purpose of this paper is to prove convexity properties for the tensor product, determinant, and permanent of hermitian matrices.
openaire   +2 more sources

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

Convex Functions in ACL2(r) [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2018
This paper builds upon our prior formalisation of R^n in ACL2(r) by presenting a set of theorems for reasoning about convex functions. This is a demonstration of the higher-dimensional analytical reasoning possible in our metric space formalisation of R ...
Carl Kwan, Mark R. Greenstreet
doaj   +1 more source

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

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