On Ostrowski type inequalities
Copyright policy )On Ostrowski type inequalities
AbstractIn this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators. We further obtain similar types of inequalities for the integral operators whose kernels are the Fox-Wright generalized hypergeometric function. Several consequences and special cases of some of the results including applications to Stolarsky’s means are also pointed out.
- Dr Emilio B Espinosa Sr Memorial State College of Agriculture and Technology Philippines
- Texas A&M University – Kingsville United States
- East China Normal University China (People's Republic of)
\(s\)-convex function, Other functions defined by series and integrals, Riemann-Liouville fractional integral operator, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Ostrowski inequality, Fox-wright function, Stolarsky means
\(s\)-convex function, Other functions defined by series and integrals, Riemann-Liouville fractional integral operator, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Ostrowski inequality, Fox-wright function, Stolarsky means
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