1,721,036 research outputs found
Hermite-Hadamard-Fejer Type Inequalities for s-Convex Function in the Second Sense via Fractional Integrals
No full textiscan, imdat/0000-0001-6749-0591; SET, ERHAN/0000-0003-1364-5396; Kara, Hasan Huseyin/0000-0002-4701-8545WOS: 000393218000001In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works
ON THE OSTROWSKI-GRUSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS
Full text linkSET, ERHAN/0000-0003-1364-5396; Akdemir, Ahmet Ocak/0000-0003-2466-0508WOS: 000315844800005In this paper we obtain some new Ostrowski-Gruss type inequalities containing twice differentiable functions
On new general integral inequalities for s-convex functions
No full textiscan, imdat/0000-0001-6749-0591; SET, ERHAN/0000-0003-1364-5396WOS: 000344473300028In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved
On generalized Gruss type inequalities for k-fractional integrals
Full text linkSET, ERHAN/0000-0003-1364-5396WOS: 000361771500005The aim of the present paper is to investigate some new integral inequalities of Gruss type for k - Riemann-Liouville fractional integrals. From our results, new weighted or classical Griiss type inequalities have been established for some special cases. Moreover, special cases of the integral inequalities in this paper have been obtained by Dahmani and Tabharit, 2010 in [5]. (C) 2015 Elsevier Inc. All rights reserved
A generalization of Chebychev type inequalities for first differentiable mappings
Full text linkSET, ERHAN/0000-0003-1364-5396; Ahmad, Farooq/0000-0001-5240-5825WOS: 000300562100011In this paper, we improve and further generalize some Cebysev type inequalities involving functions whose derivatives belong to L-p spaces via certain integral identities
Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
Full text linkSET, ERHAN/0000-0003-1364-5396WOS: 000317262100039In the present note, first we have established Hermite-Hadamard's inequalities for fractional integrals. Second, an integral identity and some Hermite-Hadamard type integral inequalities for the fractional integrals are obtained and these results have some relationships with [S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11 (5) (1998), 91-95)]. (C) 2011 Elsevier Ltd. All rights reserved
Ostrowski-type inequalities for strongly convex functions
Full text linkSET, ERHAN/0000-0003-1364-5396; Akdemir, Ahmet Ocak/0000-0003-2466-0508WOS: 000426436000011In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions
A New General Inequality for Double Integrals
Full text link1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEYAkdemir, Ahmet Ocak/0000-0003-2466-0508; SET, ERHAN/0000-0003-1364-5396WOS: 000309524400031In this paper, we obtain a new general inequality involving functions of two independent variables.Sci & Technol Res Council Turkey (TUBITAK), Gumushane Univ, Fatih Uni
On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators
Full text linkSET, ERHAN/0000-0003-1364-5396WOS: 000461179400013By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in terms of s-convex mappings, at most second derivative through the instrument of generalized fractional integral operator and a considerable amount of results for special means. The results of this study which are the generalization of those given in earlier works are obtained for functions f where vertical bar f'vertical bar and vertical bar f ''vertical bar (or vertical bar f'vertical bar(q) and vertical bar f ''vertical bar(q) for q >= 1) are s-convex hold by applying the Holder inequality and the power mean inequality
Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense
Full text linkSET, ERHAN/0000-0003-1364-5396WOS: 000391119700002In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense
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