A family of the Cauchy type mean-value theorems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:306

Article

Pecaric, JE ; Peric, I ; Srivastava, HM

关键词: Cauchy mean-value theorem;    Lagrange mean-value theorem;    Riemann-Liouville fractional integral;    and fractional derivative;    Newton-Cotes quadrature formulas;    Jensen's inequality;    Trapezoidal rule;   

DOI  :  10.1016/j.jmaa.2004.10.018

来源: Elsevier

【 摘 要 】

The Cauchy type mean-value theorems for the Riemann-Liouville fractional derivative are deduced here from known mean-value theorems of the Lagrange type. A general method for deducing these Cauchy type formulas is extracted. Two Cauchy type formulas are then deduced without a priori knowledge about the Lagrange type mean-value theorems. (c) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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