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Absolute Riesz summability factors for Fourier series

Published online by Cambridge University Press:  20 January 2009

Prem Chandra
Affiliation:
Department of Mathematics, GOvernment Science College, Jabalpur (India)
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Let ∑an be a given infinite series and {λn} a non-negative, strictly increasing, monotonic sequence, tending to infinity with n. We write, for w > λ0,

and, for r>0, we write

is known as the Riesz sum of “ type ” λn and “ orderr, and

is called the Riesz mean of type λn and order r.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1970

References

REFERENCES

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