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Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
Author(s) -
Butt Saad Ihsan,
Klaričić Bakula Milica,
Pečarić Đilda,
Pečarić Josip
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6869
Subject(s) - mathematics , zipf's law , mandelbrot set , inequality , jensen's inequality , pure mathematics , mathematical economics , calculus (dental) , mathematical analysis , fractal , statistics , geometry , medicine , dentistry , convex optimization , regular polygon , convex analysis
In this paper, we prove several Jensen‐Grüss type inequalities under various conditions. Some applications in information theory are also given.