Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
New Hermite-Hadamard-Fejér inequalities via k-fractional integrals for differentiable generalized nonconvex functions
View through CrossRef
The authors discover a new interesting generalized identity concerning
differentiable functions via k-fractional integrals. By using the obtained
identity as an auxiliary result, some new estimates with respect to
Hermite-Hadamard-Fej?r type inequalities via k-fractional integrals for a
new class of function involving Raina?s function, the so-called generalized
(h1, h2)-nonconvex are presented. These inequalities have some connections
with known integral inequalities. Also, some new special cases are provided
as well from main results.
Title: New Hermite-Hadamard-Fejér inequalities via k-fractional integrals for differentiable generalized nonconvex functions
Description:
The authors discover a new interesting generalized identity concerning
differentiable functions via k-fractional integrals.
By using the obtained
identity as an auxiliary result, some new estimates with respect to
Hermite-Hadamard-Fej?r type inequalities via k-fractional integrals for a
new class of function involving Raina?s function, the so-called generalized
(h1, h2)-nonconvex are presented.
These inequalities have some connections
with known integral inequalities.
Also, some new special cases are provided
as well from main results.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
<abstract> <p>In this paper, firstly we define the concept of <italic>h</italic>-preinvex fuzzy-interval-valued functions (<italic>h</italic>-pr...
ON GENERALIZATION OF HERMITE HADAMARD FEJER INEQUALITY
ON GENERALIZATION OF HERMITE HADAMARD FEJER INEQUALITY
In this paper, we have obtained new Hermite Hadamard Fejer type
inequality different from the classical fejer inequality. With the help
of this inequality, we have achieved Hermite...
On Family of Totally Ordered Interval Valued ConvexMappings and Applications
On Family of Totally Ordered Interval Valued ConvexMappings and Applications
Abstract
Inequalities have been examined from multiple viewpoints to identify novel developments and ramifications.One of the prominent strategies in the following area is ...
Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis
Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer ty...
Nonconvex min-max optimization in deep learning
Nonconvex min-max optimization in deep learning
Nonconvex min-max optimization receives increasing attention in modern machine learning, especially in the context of deep learning. Examples include stochastic AUC maximization w...
Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
<abstract><p>In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new gene...
Gohar Fractional Derivative: Theory and Applications
Gohar Fractional Derivative: Theory and Applications
The local fractional derivatives marked the beginning of a new era in fractional calculus. Due to their that have never been observed before in the field, they are able to fill in ...