Derivates, Approximate Derivates and Porosity Derivates of n-Convex Functions

S. Mitra

doi:rae/1212763964

2001/2002 Derivates, Approximate Derivates and Porosity Derivates of n-Convex Functions

S. Mitra

Real Anal. Exchange 27(1): 249-260 (2001/2002).

Abstract

It is shown that if $f$ is $n$-convex then the four $n$th order Peano derivates of $f$ are respectively equal to the corresponding $n$th order approximate Peano derivates and the porosity Peano derivates of $f$. It is further shown that the same result holds for the de la Vall\'ee Poussin derivates, and the symmetric and unsymmetric Riemann derivates.

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S. Mitra "Derivates, Approximate Derivates and Porosity Derivates of n-Convex Functions," Real Analysis Exchange 27(1), 249-260, (2001/2002). https://doi.org/

Published: 2001/2002

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