Some new Chebyshev type inequalities for functions whose derivatives belongs to $$L_{p}$$ L p spaces

Abstract

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.