INTEGRAL INEQUALITIES OF SIMPSON TYPE VIA WEIGHTED INTEGRALS

Abstract

In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of pℎ, 𝑚, 𝑠q-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.

Keywords

• convex fuction
• inequality of simpson
• weighted integral operator
• pℎ
• 𝑚
• 𝑠q-convex function
• hadamard-type inequality
• h¨older inequality
• power mean inequality