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    A New General Inequality for Double Integrals
    (Amer Inst Physics, 2012) Set, Erhan; Sarıkaya, Mehmet Zeki; Akdemir, Ahmet Ocak
    In this paper, we obtain a new general inequality involving functions of two independent variables.
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    New Inequalities of Hadamard Type for Quasi-Convex Functions
    (Amer Inst Physics, 2012) Özdemir, Mehmet Emin; Yıldız, Çetin; Akdemir, Ahmet Ocak; Set, Erhan
    In this paper some new Hadamard-type inequalities for functions whose second derivatives in absolute values are quasi-convex are established. Our results gives new estimations for quasi-convex functions.
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    On Some New Inequalities of Hadamard Type for h-Convex Functions
    (Amer Inst Physics, 2012) Akdemir, Ahmet Ocak; Set, Erhan; Özdemir, Mehmet Emin; Yıldız, Çetin
    In this paper we proved some new Hadamard-type inequalities for h-convex functions.
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    ON THE OSTROWSKI-GRUSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS
    (Hacettepe Univ, Fac Sci, 2012) Özdemir, Mehmet Emin; Akdemir, Ahmet Ocak; Set, Erhan
    In this paper we obtain some new Ostrowski-Gruss type inequalities containing twice differentiable functions.
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    On the ostrowski-Grüss type inequality for twice differentiable functions
    (Hacettepe University, 2012) Özdemir, Mehmet Emin; Akdemir, Ahmet Ocak; Set, Erhan
    In this paper we obtain some new Ostrowski-Grüss type inequalities containing twice differentiable functions.
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    Ostrowski-type inequalities for strongly convex functions
    (Walter De Gruyter Gmbh, 2018) Set, Erhan; Özdemir, Mehmet Emin; Sarıkaya, Mehmet Zeki; Akdemir, Ahmet Ocak
    In 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.
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    Some new Chebyshev type inequalities for functions whose derivatives belongs to L-p spaces
    (Springer Heidelberg, 2015) Özdemir, Mehmet Emin; Set, Erhan; Akdemir, Ahmet Ocak; Sarıkaya, Mehmet Zeki
    Several researchers have studied on widely known Chebyshev type inequalities that have an important place in the field of mathematical analysis. In this paper, we obtain some new Chebyshev type inequalities for functions whose derivatives belongs to L-p spaces similar to Pachpatte's results. Our results are generalized version of Pachpatte's results and these give some new estimations for Chebyshev functional.
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    Some new parameterized inequalities based on Riemann-Liouville fractional integrals
    (Univ Nis, Fac Sci Math, 2023) Kara, Hasan; Budak, Hüseyin; Akdemir, Ahmet Ocak
    In this article, we first obtain an identity that we will use throughout the article. With the help of this equality, new inequalities involving a real parameter are established for Riemann-Liouville fractional integrals. For this purpose, properties of the differentiable convex function, Ho & BULL;lder inequality, and power -mean inequality are used. In addition, new results are established with special choices of parameters in all proven inequalities. Our results are supported by examples and graphs. It is shown that some of these results generalize the trapezoid type and Newton-type inequalities.