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In the paper, the authors establish some new explicit formulas and integral representations of the Catalan numbers and a class of parametric integrals in terms of the k-gamma and k-beta functions. 2010 Mathematics Subject Classification:... more
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    • Catalan numbers
In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
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    • Fractional calculus and its applications
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    • Probability statistics
In this article we obtain new generalizations for Hermite-Hadamard Inequality by using Riemann-Liouville fractional integral and new type convex functions.
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In this study, after defining a generalization of the classical Riemann-Liouville Fractional integrals, its Feng Qi type integral inequalities are obtained.
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In this paper, we establish two identities for functions of two variables and apply them to give new Hermite-Hadamard type fractional integral inequalities for double fractional integrals involving functions whose derivatives are bounded... more
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In this study, we have obtained some Hermite-Hadamard type integral inequalities for S_phi_preinvex functions. These inequalities are a generalization of some of the results in the literature.
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