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http://dx.doi.org/10.4134/BKMS.2010.47.2.221

SOME NEW ČEBYŠEV TYPE INEQUALITIES  

Zafar, Fiza (CENTRE FOR ADVANCED STUDIES IN PURE AND APPLIED MATHEMATICS BAHAUDDIN ZAKARIYA UNIVERSITY)
Mir, Nazir Ahmad (DEPARTMENT OF MATHEMATICS COMSATS INSTITUTE OF INFORMATION TECHNOLOGY)
Rafiq, Arif (DEPARTMENT OF MATHEMATICS COMSATS INSTITUTE OF INFORMATION TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 221-229 More about this Journal
Abstract
Some new $\check{C}$eby$\check{s}$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 $L_{\infty}[a,\;b]$. A unified treatment of the special cases is also given.
Keywords
$\check{C}$eby$\check{s}$ev type inequalities; midpoint rule; trapezoid like rule;
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