Results 31 to 40 of about 639,816 (328)

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

open access: yesJournal 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   +4 more
doaj   +1 more source

The Ostrowski inequality for s-convex functions in the third sense

open access: yesAIMS Mathematics, 2022
In this paper, the Ostrowski inequality for s-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose ...
Gültekin Tınaztepe   +3 more
doaj   +1 more source

A note on generalized convex functions

open access: yesJournal 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   +2 more
doaj   +1 more source

Image Fusion via Sparse Regularization with Non-Convex Penalties

open access: yes, 2020
The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way.
Achim, Alin   +3 more
core   +1 more source

On φ-convexity of convex functions

open access: yesLinear Algebra and its Applications, 1998
The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique   +1 more
openaire   +2 more sources

Convex relaxations of componentwise convex functions

open access: yesComputers & Chemical Engineering, 2019
Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil   +2 more
openaire   +3 more sources

Unification of Generalized and p-Convexity

open access: yesJournal of Function Spaces, 2020
In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung   +5 more
doaj   +1 more source

Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions

open access: yesAIMS Mathematics, 2020
The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels.
Ghulam Farid   +4 more
doaj   +1 more source

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

open access: yesJournal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung   +4 more
doaj   +1 more source

New Generalization of Geodesic Convex Function

open access: yesAxioms, 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

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