INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRALOPERATORS

OpenAlex İngilizce

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Pólya-Szegö-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.