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Higher Order Derivatives

Satya N. Mukhopadhyay
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2013
Number of Pages: 
204
Format: 
Hardcover
Series: 
Monographs and Surveys in Pure and Applied Mathematics 144
Price: 
99.95
ISBN: 
9781439880470
Category: 
Monograph
We do not plan to review this book.

Introduction
Higher order derivatives

Divided difference of order n
General derivatives of order n
Generalized Riemann derivatives of order n
Peano derivatives
Riemann* derivatives
Symmetric de la Vallée Poussin derivatives
Symmetric Riemann* derivatives
Cesàro derivatives
Symmetric Cesàro derivatives
Borel derivatives
Symmetric Borel derivatives
Lp-derivatives
Symmetric Lp-derivatives
Abel derivatives
Laplace derivatives
Symmetric Laplace derivatives

Relations between derivatives
Ordinary and Peano derivatives
Riemann* and Peano derivatives
Symmetric Riemann* and symmetric de la Vallée Poussin derivatives
Cesàro and Peano derivatives
Peano and symmetric de la Vallée Poussin derivatives and smoothness of order k
Symmetric Cesàro and symmetric de la Vallée Poussin derivatives
Borel and Peano derivatives
Symmetric Borel and symmetric de la Vallée Poussin derivatives
Borel and symmetric Borel derivatives and Borel smoothness of order k
Peano and Lp-derivatives
Lp- and symmetric Lp-derivatives
Symmetric de la Vallée Poussin and symmetric Lp-derivatives
Borel and Lp-derivatives
Symmetric Borel and symmetric Lp-derivatives
Cesàro and Borel derivatives
Symmetric Cesàro and symmetric Borel derivatives
Abel and symmetric de la Vallée Poussin derivatives
Laplace, Peano and generalized Peano derivatives
Laplace and Borel derivatives
Symmetric Laplace and symmetric de la Vallée Poussin derivatives
Laplace and symmetric Laplace derivatives
Peano and the unsymmetric Riemann derivatives
Symmetric de la Vallée Poussin and the symmetric Riemann derivatives
Generalized Riemann and Peano derivatives
MZ- and Peano derivatives

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