1,523 research outputs found
FEJER TYPE INEQUALITIES FOR HARMONICALLY (s, m)-CONVEX FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591;WOS: 000388622400010In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic (s, m)-convexity, analysis and some auxiliary results, some new Fejer type integral inequalities are presented for the class of harmonically (s, m)-convex functions.Higher Education Commission of PakistanHigher Education Commission of PakistanThis research article is partially supported by Higher Education Commission of Pakistan
Fejer Polynomials and Non-Linear Dynamics
No full textSome applications of the Fejer polynomials to the problems in non-linear dynamics will be presented. This is a joint talk with D. Dmitrishin, P. Hagelstein, A. Khamitova and M. Tohanianu
On Refinements of Hermite-Hadamard-Fejer Type Inequalities for Fractional Integral Operators
No full textWOS: 000435011100027In this paper, utilizing convex functions, we first establish new refinements of Hermite-Hadamard-Fejer type inequalities via Riemann-Liouville fractional integral operators. A generalized refinements of Hermite-Hadamard-Fejer type inequalities for fractional integral operators with exponential kernel is also obtained. The results given in this paper would provide extensions of those presented in earlier studies
On Some New Inequalities of Hermite-Hadamard-Fejer Type Involving Convex Functions
No full textIn this paper, we establish some inequalities of Hermite-Hadamard-Fejer type for m-convex functions and s-convex functions
On new Fejér type inequalities for convex and quasi convex functions
No full textIn this paper we establish new inequalities of weighted version of Hermite-Hadamard type inequality for functions whose derivatives absolute values are m- convex. Also we obtain some Fejer type inequalities for quasi-convex functions
Some New Hermite-Hadamard-Fejer Type Inequlaties via k-Fractional Integrals Concerning Differentiable Generalized Relative Semi-(r; m, h1, h2)-Preinvex Mappings
No full textIn this article, we first presented a new identity concerning differentiable mappings defined on m-invex set via k-fractional integrals. By using the notion of generalized relative semi-(r;m,h1,h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard-Fejer type inequalities via k-fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.</jats:p
Inequalities of Fejer Type Related to Generalized Convex Functions
No full textThis paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative of considered function is (η1, η2)-convex. Furthermore we give two estimation results when the derivative of considered function is bounded and satisfies a Lipschitz condition.</span
Inequalities of Fejer Type Related to Generalized Convex Functions
No full textThis paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative of considered function is (η1, η2)-convex. Furthermore we give two estimation results when the derivative of considered function is bounded and satisfies a Lipschitz condition.</span
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