Higher order multi-dimensional extensions of Cesàro theorem-Reference-Cited by-同舟云学术

Higher order multi-dimensional extensions of Cesàro theorem

Published:2015-12 Issue:04 Volume:18 Page:1550030
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Accardi Luigi¹,Ji Un Cig²,Saitô Kimiaki³

Affiliation:

1. Centro Vito Volterra Facultà di Economica, Università di Tor Vergata, Via di Tor Vergata, 00133 Roma, Italy

2. Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University, Cheongju 361-763, Korea

3. Department of Mathematics, Meijo University, Nagoya 468, Japan

Abstract

The Cesàro theorem is extended to the cases: (1) higher order Cesàro mean for sequence (discrete case); and (2) higher order, multi-dimensional and continuous Cesàro mean for functions. Also, we study the Cesàro theorem for the case of positive-order.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025715500307

Reference19 articles.

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2. EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

3. EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE

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