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.

Авторы
Butt S.I.1 , Klaričić Bakula M. , Pečarić Đ.3 , Pečarić J. 4
Издательство
John Wiley and Sons Ltd
Язык
Английский
Статус
Опубликовано
Год
2020
Организации
  • 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
Ключевые слова
Gruss inequality; Jensen inequality; Lipschitz condition; Zipf-Mandelbrot law
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