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In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.
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      Applied MathematicsPure MathematicsMathematical Inequalities and Applications
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      Applied MathematicsHermite-Hadamard inequality
In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.
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Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.
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    • Pure Mathematics
In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.
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In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.
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In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.
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Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.
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    • Pure Mathematics
... Mehmet Zeki Sarikaya a , Corresponding Author Contact Information , E-mail The Corresponding Author , E-mail The Corresponding Author , Erhan Set b , E-mail The Corresponding Author and M. Emin Ozdemir b , E-mail The Corresponding... more
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      Mathematical SciencesComputers and Mathematics with Applications 59 (2010) 35783582
In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.
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      Applied MathematicsPure MathematicsInequalitiesMathematical Inequalities and Applications
In this paper, we establish several inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are m-convex.
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      Functional AnalysisPARTIAL DIFFERENTIAL EQUATIONDifferential equationIntegral Equation
New identity similar to an identity of [13] 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... more
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      Mathematical SciencesComputers and Mathematics with Applications 59 (2010) 35783582Fractional IntegralS
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      Mathematical SciencesComputers and Mathematics with Applications 59 (2010) 35783582
In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error... more
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In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means... more
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In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error... more
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