163 research outputs found
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
In this paper, obtained some new class of Hermite-Hadamard and
Hermite-Hadamard-Fejer type inequalities via fractional integrals for the
p-hyperbolic convex functions. It is shown that such inequalities are simple
consequences of Hermite-Hadamard-Fejer inequality for the p-hyperbolic convex
function.Comment: 11 page
IMPROVEMENT OF FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITY FOR CONVEX FUNCTIONS
iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000458493700023In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejer inequality and better than given in [9] by Sarikaya et al. is obtained. Also, a new equality is proved and some new fractional midpoint type inequalities are given. Our results generalizes the results given in [5] by Kirmaci
On some inequality of Hermite-Hadamard type
It is well-known that the left term of the classical Hermite-Hadamard
inequality is closer to the integral mean value than the right one. We show
that in the multivariate case it is not true. Moreover, we introduce some
related inequality comparing the methods of the approximate integration, which
is optimal. We also present its counterpart of Fejer type.Comment: Submitted to Opuscula Mat
Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals
The aim of this paper is to establish Hermite-Hadamard,
Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for
new fractional integral operators with exponential kernel. These results allow
us to obtain a new class of functional inequalities which generalizes known
inequalities involving convex functions. Furthermore, the obtained results may
act as a useful source of inspiration for future research in convex analysis
and related optimization fields.Comment: 14 pages, to appear in Journal of Computational and Applied
Mathematic
Matrix Hermite-Hadamard type inequalities
We present several matrix and operator inequalities of Hermite-Hadamard type.
We first establish a majorization version for monotone convex functions on
matrices. We then utilize the Mond-Pecaric method to get an operator version
for convex functions. We also present some applications. Finally we obtain an
Hermite-Hadamard inequality for operator convex functions, positive linear maps
and operators acting on Hilbert spaces.Comment: 13 pages, revised versio
A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications
In this article, we provide constraints for the sum by employing a generalized modified form of fractional integrals of Riemann-type via convex functions. The mean fractional inequalities for functions with convex absolute value derivatives are discovered. Hermite–Hadamard-type fractional inequalities for a symmetric convex function are explored. These results are achieved using a fresh and innovative methodology for the modified form of generalized fractional integrals. Some applications for the results explored in the paper are briefly reviewed.The sixth author is grateful to the Spanish Government and the European Commission for its support through grant RTI2018-094336-B-I00 (MCIU/AEI/FEDER, UE) and to the Basque Government for its support through grants IT1207-19 and IT1555-22
- …