Jensen-Grüss inequality and its applications for the Zipf-Mandelbrot law

In this paper, we prove several Jensen-Grüss type inequalities under various conditions. Some applications in information theory are also given. © 2020 John Wiley & Sons, Ltd.

Authors
Butt S.I. 1 , Klaričić Bakula M. , Pečarić Đ. 3 , Pečarić J. 4
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
State
Published
Link
External link
DOI
10.1002/MMA.6869
Year
2020
Organizations
  • 1 Mathematics Department, COMSATS University Islamabad, Lahore Campus, Pakistan
  • 2 Faculty of Science, University of Split, Split, Croatia
  • 3 Catholic University of CroatiaZagreb, Croatia
  • 4 Mathematical Institute, RUDN University, Moscow, Russian Federation
Keywords
Gruss inequality; Jensen inequality; Lipschitz condition; Zipf-Mandelbrot law
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