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
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
Journal title :
Journal of Mathematical Analysis and Applications
