Browsing by Author "Kavurmaci-Onalan, Havva"

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Geometric-Harmonic Convexity and Integral Inequalities
(Amer inst Physics, 2016) Akdemir, Ahmet Ocak; Yalcin, Abdullatif; Polat, Fatma; Kavurmaci-Onalan, Havva
In this paper, some new integral inequalities have been proved for functions whose absolute value of derivatives are GH -convex functions by using integral equalities that have been obtained previously.
Hermite-Hadamard Type Inequalities for Some Convex Dominated Functions Via Fractional Integrals
(Univ Miskolc inst Math, 2021) Kavurmaci-Onalan, Havva
In this study, we derive some new inequalities of H-H type for (g, m) - and (g, h) - convex dominated functions related fractional integral. Our obtained results are extensions of earlier works.
Inequalities of Bullen's Type for Logarithmically Convexity With Numerical Applications
(Springer international Publishing Ag, 2020) Kavurmaci-Onalan, Havva; Akdemir, Ahmet Ocak; Dutta, Hemen
In this study, we consider a familier inequality of Hermite-Hadamard inequality that is well known as Bullen's inequality in the literature. We remind an integral identity that derives Bullen's type integral inequalities. By using this integral identity, we have established new Bullen's type inequalities for functions whose second derivatives in absolute value are logarithmically convex. So, new error bounds for averaged midpoint-trapezoid quadrature rules are obtained and applications in numerical integration are given.
New Inequalities of Ostrowski Type for Mappings Whose Derivatives Are (Α, M)-Convex Via Fractional Integrals
(Chiang Mai Univ, Fac Science, 2018) Ozdemir, M. Emin; Kavurmaci-Onalan, Havva; Avci-Ardic, Merve
New identity similar to an identity of [1] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the results of Ozdemir et. al., proved in [1] and the analysis used in the proofs is simple.
Some Simpson Type Integral Inequalities for S-Geometrically Convex Functions With Applications
(Univ Studi Catania, Dipt Matematica, 2014) Kavurmaci-Onalan, Havva; Tunc, Mevlut
In this paper, we establish some new Simpson type integral inequalities by using s- geometrically convex function which is given below as f(x(lambda) y(1-lambda) )<=[f (x)](lambda s) [f (y)] ((1-lambda)s) where f : I subset of R+-> R+ for some fixed s is an element of(0;1]; x; y is an element of I and lambda is an element of[0,1]. Also we get some applications for special means for positive numbers.