Results 21 to 30 of about 1,680 (149)

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals

, 2017
In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar   +1 more source

New inequalities of hermite-hadamard type for convex functions with applications [PDF]

, 2010
In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given.
Havva Kavurmaci, M. Avci, M. Özdemir
semanticscholar   +1 more source

Some Hermite-Jensen-Mercer like inequalities for convex functions through a certain generalized fractional integrals and related results

Miskolc Mathematical Notes, 2020
In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators ...
S. Butt, A. Akdemi̇r, Jamshed Nasir, F. Jarad   +3 more
semanticscholar   +1 more source

Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

Advances in Nonlinear Analysis, 2016
We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
doaj   +1 more source

Quantum integral inequalities on finite intervals

, 2014
In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Grüss, and Grüss-Čebyšev integral inequalities ...
J. Tariboon, S. Ntouyas
semanticscholar   +1 more source

The 123 theorem of Probability Theory and Copositive Matrices

Special Matrices, 2014
Alon and Yuster give for independent identically distributed real or vector valued random variablesX, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derivethese using copositive matrices instead.
Kovačec Alexander, Moreira Miguel M. R., Martins David P.   +2 more
doaj   +1 more source

Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions

, 2015
Lyapunov-type inequalities are established for a fractional differential equation under mixed boundary conditions. Using such inequalities, we obtain intervals where certain MittagLeffler functions have no real zeros.
M. Jleli, B. Samet
semanticscholar   +1 more source

Improved Interpolation Inequalities and Stability

Advanced Nonlinear Studies, 2020
For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities.
Dolbeault Jean, Esteban Maria J.
doaj   +1 more source

Nonlinear differential inequality [PDF]

, 2010
A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to
Hoang, N. S., Ramm, A. G.
core   +8 more sources

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

Annals of Mathematics and Physics
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 type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad, Zhiyue Zhang, Mateen Abdul, Budak Hüseyin, Kashuri Artion   +4 more
semanticscholar   +1 more source