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Bull. Korean Math. Soc. 2010; 47(2): 221-229
Printed March 1, 2010
https://doi.org/10.4134/BKMS.2010.47.2.221
Copyright © The Korean Mathematical Society.
Some new \v{C}eby\v{s}ev type inequalities
Fiza Zafar, Nazir Ahmad Mir, and Arif Rafiq
Bahauddin Zakariya University, COMSATS Institute of Information Technology, and COMSATS Institute of Information Technology
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
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