Results 91 to 100 of about 222 (170)

Stability of the second order partial differential equations

open access: yes, 2011
We say that a functional equation (ξ) is stable if any function g satisfying the functional equation (ξ) approximately is near to a true solution of (ξ).
M Eshaghi Gordji   +3 more
core   +2 more sources

Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals

open access: yes, 2015
In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
core  

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

open access: yesSpecial Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +1 more source

Most General Fractional Representation Formula for Functions and Implications [PDF]

open access: yes, 2014
Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, [3], [4], [5].
Anastassiou, George A.
core  

Some new Fejér type inequalities for (h, g; α - m)-convex functions

open access: yesOpen Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam   +3 more
doaj   +1 more source

Sharp Singular Trudinger–Moser Inequalities Under Different Norms

open access: yesAdvanced Nonlinear Studies, 2019
The main purpose of this paper is to prove several sharp singular Trudinger–Moser-type inequalities on domains in ℝN{\mathbb{R}^{N}} with infinite volume on the Sobolev-type spaces DN,q⁢(ℝN){D^{N,q}(\mathbb{R}^{N})}, q≥1{q\geq 1}, the completion of C0 ...
Lam Nguyen, Lu Guozhen, Zhang Lu
doaj   +1 more source

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

open access: yesOpen Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet   +3 more
doaj   +1 more source

On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings

open access: yes, 2019
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(m, h)-preinvex mappings.
LIKO, Rozana   +2 more
core   +1 more source

A New Characterization of Weighted Peetre K-Functionals (II) [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the ...
Draganov, Borislav, Ivanov, Kamen
core  

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