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Finite difference and averaging operators in generalized entropies

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Published under licence by IOP Publishing Ltd
, , Citation T Wada and A M Scarfone 2010 J. Phys.: Conf. Ser. 201 012005 DOI 10.1088/1742-6596/201/1/012005

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1 Department of Electrical and Electronic Engineering, Ibaraki University, Japan

2 Consiglio Nazionale delle Ricerche (CNR-INFM) and Dipartimento di Fisica, Politecnico di Torino, Italy

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1742-6596/201/1/012005

Abstract

In the two-parameter generalization of thermostatistics based on the Sharma-Taneja-Mittal entropy not only the generalized entropic functional Sa,b but also a new functional Script Ia,b plays a fundamental role. These functionals are related to the finite difference and averaging operators arising in finite difference calculus.

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10.1088/1742-6596/201/1/012005