Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1319 2022 2022 Cairo University, Cairo, Egypt Arwa Hajjari The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)(x-t)^m  dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)x dx 2022 2022 08 10 10.54216/GJMSA.010201 https://www.americaspg.com/articleinfo/33/show/1319