Weighted Ostrowski-Grüss type inequalities

Authors

  • Ana Maria ACU Lucian Blaga University of Sibiu, Department of Mathematics and Informatics Str. Dr. I. Ratiu, No.5-7, RO-550012 Sibiu, Romania e-mail: acuana77@yahoo.com https://orcid.org/0000-0003-1192-2281
  • Heiner GONSKA University of Duisburg-Essen, Faculty of Mathematics Forsthausweg 2, 47057 Duisburg, Germany e-mail: heiner.gonska@uni-due.de

Keywords:

Ostrowki-Grüss type inequalities, modulus of smoothness, least concave majorant of modulus of continuity.

Abstract

Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.

Mathematics Subject Classification (2010): 26D15, 26A15, 39B62.

References

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STUDIA UBB MATHEMATICA, Volume 60 (LX), No. 2, June 2015

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Published

2015-06-30

How to Cite

ACU, A. M., & GONSKA, H. (2015). Weighted Ostrowski-Grüss type inequalities. Studia Universitatis Babeș-Bolyai Mathematica, 60(2), 183–192. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5716

Issue

Volume 60, No. 2, June 2015

Section

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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