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Alper Ekinci

Publications and source records attributed to Alper Ekinci.

6 recordsLinked to original sources
arXiv2020

Inequalities of Chebyshev-Pólya-Szegö Type via Generalized Proportional Fractional Integral Operators

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Pólya-Szeg% ö-Chebyshev type obtained with the help of Generalized Proportional Fractional integral operators. The results have been performed by using Generalized Proportional Fractional integral operators, some classical inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor series expansion of exponential function. The findings give new approaches to some types of inequalities that have involving the product of two functions in inequality theory.

math.GM↗
arXiv2013

On The Coordinated g-convex Dominated Functions

In this study, we define g-convex dominated functions on the co-ordinates and prove some Hadamard-type, Fejer-type inequalities for this new class of functions. We also give some results related to the functional H.

math.CA↗
arXiv2012

Simpson Type Inequalities for Q-Class Functions

In this paper, we obtain some Simpson type inequalities for functions whose second derivatives absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration.

math.CA↗
arXiv2012

On Some Inequalities of Simpson's Type via h-Convex Functions

In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give some sophisticated results for some different kinds of convex functions.

math.CA↗