Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

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)
  • Published : 2010.03.31
Download PDF
⟨ Previous Next ⟩

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

References

  1. P. Cerone and S. S. Dragomir, Generalisations of the Gruss, Chebychev and Lupa¸s inequalities for integrals over different intervals, Int. J. Appl. Math. 6 (2001), no. 2, 117– 128.
  2. P. Cerone, New bounds for the Cebycev functional, Appl. Math. Lett. 18 (2005), no. 6, 603–611. https://doi.org/10.1016/j.aml.2003.09.013
  3. Z. Liu, Generalizations of some new Cebysev type inequalities, J. Inequal. Pure Appl. Math. 8 (2007), no. 1, Article 13, 6 pp.
  4. D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink Classical and New Inequalities in Analysis, Mathematics and its Applications (East European Series), 61. Kluwer Academic Publishers Group, Dordrecht, 1993.
  5. B. G. Pachpatte, On Ostrowski-Gruss-Ceby sev type inequalities for functions whose modulus of derivatives are convex, J. Inequal. Pure Appl. Math. 6 (2005), no. 4, Article 128, 15 pp.
  6. B. G. Pachpatte, New Cebysev type inequalities via trapezoidal-like rules, J. Inequal. Pure Appl. Math. 7 (2006), no. 1, Article 31, 6 pp.