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Generalized discrete Grüss and related results with applications

  • Saad Ihsan Butt , Josip Pečarić and Sanja Tipurić-Spužević EMAIL logo
Published/Copyright: August 14, 2024
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Abstract

Grüss inequality is subject of interest for many authors due to its effectiveness in predicting bounds in several quadrature problems. In the present article, we give weighted treatment of the discrete Čebyšev and Grüss type inequalities pertaining two n-tuples of real numbers in which the bounding constants are mobilised with bounding sequences of real numbers. As an application estimations of discrete Ostrowski type inequalities are provided. Finally, by practicing obtained results along with Jensen’s difference, a wide range of estimations are formalised by considering Jensen-Grüss differences.

MSC 2010: 26D15; 26D20; 26D99
  1. Communicated by Marek Balcerzak

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Received: 2023-08-23
Accepted: 2024-01-29
Published Online: 2024-08-14
Published in Print: 2024-08-27

© 2024 Mathematical Institute Slovak Academy of Sciences

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