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Divergent Cesàro and Riesz Means of Jacobi and Laguerre Expansions
Proceedings of the American Mathematical Society
Vol. 131, No. 10 (Oct., 2003), pp. 3123-3128
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1194444
Page Count: 6
You can always find the topics here!Topics: Mathematical inequalities, Hypergeometric functions, Mathematical functions, Coefficients, Mathematical theorems, Perceptron convergence procedure, Laguerre functions, Algebraic conjugates, Real numbers
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We show that for δ below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Cesàro and Riesz means of order δ .
Proceedings of the American Mathematical Society © 2003 American Mathematical Society