New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
Ahmet Ocak Akdemi̇r, Saad Ihsan Butt, Muhammad Nadeem, Maria Alessandra Ragusa
Abstract
In this study, new and general variants have been obtained on Chebyshev’s inequality, which is quite old in inequality theory but also a useful and effective type of inequality. The main findings obtained by using integrable functions and generalized fractional integral operators have generalized many existing results as well as iterating the Chebyshev inequality in special cases.
Topics & Concepts
MathematicsChebyshev filterInequalityMultidimensional Chebyshev's inequalityChebyshev's inequalityType (biology)Applied mathematicsIntegrable systemFractional calculusMarkov's inequalityMathematical analysisRearrangement inequalityPure mathematicsLog sum inequalityEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability Results