Abstract. The aim of this paper is to establish new extension of the weighted Montgomery identity for functions of two independent variables, then obtain newČebyšev type inequalities.Mathematics subject classification (2010): 26D15, 26D20.
In the present paper, we first prove a new integral identity. Using that identity, we establish some fractional weighted midpoint-type inequalities for functions whose first derivatives are extended s-convex. Some special cases are discussed. Finally, to prove the effectiveness of our main results, we provide some applications to numerical integration as well as special means.
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