New integral inequalities involving m—convex functions in (p,q)—calculus
Copyright policy )New integral inequalities involving m—convex functions in (p,q)—calculus
Some new Hermite-Hadamard integral inequalities for \(m\)-convex functions via \((p,q)\)-calculus are obtained. First let us define the \((p,q)_a\)-integral and the \((p,q)^b\)-integral for the function \(f\). Definition. Let \(f:[a,b] \rightarrow \mathbb{R}\) be a continuous function and \(0
Hermite-Hadamard inequality, \((p, q)\)-integrals, Fractional derivatives and integrals, Hölder inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, \(m\)-convexity, Inequalities involving other types of functions, power mean inequality, Convexity of real functions in one variable, generalizations, Convexity of real functions of several variables, generalizations
Hermite-Hadamard inequality, \((p, q)\)-integrals, Fractional derivatives and integrals, Hölder inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, \(m\)-convexity, Inequalities involving other types of functions, power mean inequality, Convexity of real functions in one variable, generalizations, Convexity of real functions of several variables, generalizations
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