Higher order multi-dimensional extensions of Cesaro theorem

作者：Accardi Luigi^*; Ji Un Cig^*; Saito Kimiaki^*

来源：Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2015, 18(4): 1550030.

DOI：10.1142/S0219025715500307

• Cesaro mean
• positive-order Cesaro mean
• Cesaro theorem
• continuous Cesaro theorem
• higher order Cesaro theorem

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

• 出版日期2015-12