Results 11 to 20 of about 630,172 (279)

An application of the generalized Bessel function [PDF]

open access: yesMathematica Bohemica, 2017
We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish   +2 more
doaj   +1 more source

Projections Onto Convex Sets (POCS) Based Optimization by Lifting [PDF]

open access: yes, 2013
Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex and some non-convex optimization problems are presented.
Bozkurt, A.   +7 more
core   +2 more sources

Conditionally approximately convex functions

open access: yesDemonstratio 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   +1 more source

New inequalities for F-convex functions pertaining generalized fractional integrals [PDF]

open access: yesMathematica Moravica, 2020
In this paper, the authors, utilizing F-convex functions which are defined by B. Samet, establish some new Hermite-Hadamard type inequalities via generalized fractional integrals.
Budak Hüseyın   +2 more
doaj   +1 more source

Functions Like Convex Functions [PDF]

open access: yesJournal of Function Spaces, 2015
The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.
openaire   +4 more sources

Uniformly starlike functions and uniformly convex functions related to the Pascal distribution [PDF]

open access: yesMathematica Bohemica, 2021
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk ...
Gangadharan Murugusundaramoorthy   +1 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

Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions

open access: yesFractal and Fractional, 2023
In this paper, we aim to find unified estimates of fractional integrals involving Mittag–Leffler functions in kernels. The results obtained in terms of fractional integral inequalities are provided for various kinds of convex and related functions.
Yonghong Liu   +3 more
doaj   +1 more source

Quotients of continuous convex functions on nonreflexive Banach spaces [PDF]

open access: yes, 2007
On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and
Holicky, P.   +3 more
core   +1 more source

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