Novel inequalities involving exponentially (α, m)-convex function and fractional integrals

Abstract

In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real valued functions, which are appeared in these inequalities, are exponentially ([Formula: see text]-convex. Some special cases are discussed and graphical evidences are presented for validity of proved results.

Keywords

• Integral inequalities
• convex functions
• Riemann–Liouville fractional integral
• Hölder inequality
• power-mean inequality
• 26A33