Inequalities of Čebyšev Type for Lipschitzian Functions in Banach Algebras

Author:

Boldea Marius V.1

Affiliation:

1. Department Mathematics and Statistics, Banat University of Agricultural Sciences and Veterinary Medicine Timişoara, 119 Calea Aradului, Timişoara, Romania

Abstract

Abstract In this paper we give some Čebyšev type norm inequalities for two Lipschitzian functions on Banach algebras. Some examples for power function, exponential and the resolvent functions are also provided

Publisher

Walter de Gruyter GmbH

Reference57 articles.

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3. [3] G. A. Anastassiou, Chebyshev-Güss type inequalities via Euler type and Fink identities, Math. Comput. Modelling, 45 (9-10), (2007), 1189-1200

4. [4] M. Biernacki, Sur une inégalité entre les intégrales due à Tchebyscheff, Ann. Univ. Mariae Curie-Sklodowska, A5, (1951), 23-29

5. [5] K. Boukerrioua and A. Guezane-Lakoud, On generalization of Čebyšev type inequalities, J. Inequal. Pure Appl. Math., 8 (2, Article 55), (2007), 4 pp.

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