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 Some new \v{C}eby\v{s}ev type inequalities Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 221-229 https://doi.org/10.4134/BKMS.2010.47.2.221Printed March 1, 2010 Fiza Zafar, Nazir Ahmad Mir, and Arif Rafiq Bahauddin Zakariya University, COMSATS Institute of Information Technology, and COMSATS Institute of Information Technology Abstract : Some new \v{C}eby\v{s}ev type inequalities have been developed by working on functions whose first derivatives are absolutely continuous and the second derivatives belong to the usual Lebesgue space $L_{_{\infty }}\left[ a,b\right].$ A unified treatment of the special cases is also given. Keywords : \v{C}eby\v{s}ev type inequalities, midpoint rule, trapezoid like rule MSC numbers : Primary 26D15; Secondary 26D20 Downloads: Full-text PDF