Results 21 to 30 of about 643,292 (329)

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

Fractal 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, Matloob Anwar, Ghulam Farid, Hala Safdar Khan   +3 more
doaj   +1 more source

Convex Matrix Functions [PDF]

Proceedings 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 α-convex functions of order β

International Journal of Mathematics and Mathematical Sciences, 1997
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class.
Seiichi Fukui
doaj   +1 more source

Some Ostrowski’S Type Inequalities For Functions Whose Second Derivatives Are S-Convex In The Second Sense

Demonstratio Mathematica, 2014
Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan, Sarikaya, Mehmet Zeki, Ozdemir M. Emin   +2 more
doaj   +1 more source

A convex operator function

International Journal of Mathematics and Mathematical Sciences, 1988
It is shown that inversion is a convex function on the set of strictly positive elements of a C*-algebra.
Derming Wang
doaj   +1 more source

Strongly Convex Functions of Higher Order Involving Bifunction

Mathematics, 2019
Some new concepts of the higher order strongly convex functions involving an arbitrary bifuction are considered in this paper. Some properties of the higher order strongly convex functions are investigated under suitable conditions.
Bandar B. Mohsen, Muhammad Aslam Noor, Khalida Inayat Noor, Mihai Postolache   +3 more
doaj   +1 more source

Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

Journal of Function Spaces, 2020
The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo, Yu-Ming Chu, Ghulam Farid, Sajid Mehmood, Waqas Nazeer   +4 more
doaj   +1 more source

Necessary and sufficient condition on global optimality without convexity and second order differentiability [PDF]

, 2012
The main goal of this paper is to give a necessary and sufficient condition of global optimality for unconstrained optimization problems, when the objective function is not necessarily convex. We use Gâteaux differentiability of the objective function
A. Brøndsted, A.D. Ioffe, A.D. Ioffe, F.H. Clarke, I. Ekeland, J.B. Hiriart-Urruty, J.F. Bonnans, P.G. Georgiev, Pál Burai, R.T. Rockafellar   +9 more
core   +1 more source

New Generalization of Geodesic Convex Function

Axioms, 2023
As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
doaj   +1 more source

A note on generalized convex functions

Journal of Inequalities and Applications, 2019
In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source