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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   +4 more sources

Conditionally approximately convex functions [PDF]

open access: goldDemonstratio Mathematica, 2016
Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
doaj   +2 more sources

On convex functions [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1919
Henry Blumberg
openalex   +2 more sources

Radical Convex Functions [PDF]

open access: yesMediterranean Journal of Mathematics, 2021
to appear in Mediterr.
Mohammad Sababheh, Hamid Reza Moradi
openaire   +2 more sources

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

open access: yesAxioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Some Refinements of Hermite–Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type

open access: yesAxioms, 2023
The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq   +2 more
doaj   +1 more source

Convex Functions on Convex Polytopes [PDF]

open access: yesProceedings of the American Mathematical Society, 1968
The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually ...
Gale, David   +2 more
openaire   +1 more source

Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]

open access: yesOpuscula Mathematica, 2015
Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi   +3 more
doaj   +1 more source

Injectiveness and Discontinuity of Multiplicative Convex Functions

open access: yesMathematics, 2021
In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez   +3 more
doaj   +1 more source

First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

open access: yesCumhuriyet Science Journal, 2020
In this study, we derived a new integral identity for differentiable functions. However, we get new inequalities which is well known as Hermite-Hadamard (H-H) type by using the integral identity, which unifies the class of new and known harmonically ...
Merve Kule, Mehmet Eyüp Kiriş
doaj   +1 more source

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