990 research outputs found
ON NEW WEIGHTED OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED s-CONVEX FUNCTIONS
No full textIn this paper, we obtain some new weighted Ostrowski type inequalities for co-ordinated s-convex functions. Furthermore we present some weighted Midpoint type inequalities as special cases of main results. We also show that our results generalize the results obtained earlier studies. © 2021, Erhan SET. All rights reserved
COEFFICIENT ESTIMATES FOR TWO NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY LUCAS-BALANCING POLYNOMIALS
No full textIn the present paper, by making use of Lucas-Balancing polynomials two new subclasses of regular and bi-univalent functions are introduced. Then, some upper bounds are determined for the Taylor-Maclaurin coefficients. In addition, the Fekete-Szegö problem is handled for the functions belonging to these new subclasses. Morever, a few corollaries of the results are indicated for certain values of the parameters. © 2023, Erhan SET. All rights reserved
Integral inequalities for some convexity classes via Atangana-Baleanu integral operators
No full textIn this paper, firstly, definitions of different classes of convexity, Riemann-Liouville fractional integral and Atangana-Baleanu fractional integral operator are given. In the second part, which constitutes the main results, by using the identity given by Set et al. in [20], some new integral inequalities for quasi-convex and P-function via Atangana-Baleanu fractional integral operators are obtained
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
A New General Inequality for Double Integrals
No full text1st 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 THE OSTROWSKI-GRUSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS
No full textSET, 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
Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense
No full textSET, 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
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
No full textSET, 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
No full textSET, 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
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