Title of article
A family of the Cauchy type mean-value theorems
Author/Authors
Josip E. Pe?cari´c، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
10
From page
730
To page
739
Abstract
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.
2004 Elsevier Inc. All rights reserved
Keywords
Lagrange mean-value theorem , Jensen’s inequality , Trapezoidal rule , Riemann–Liouville fractional integraland fractional derivative , Newton–Cotes quadrature formulas , Cauchy mean-value theorem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933897
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