A theorem concerning the means of an entire function an its derivatives.
J. P. Singh (1974)
Gaceta Matemática
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J. P. Singh (1974)
Gaceta Matemática
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R. S. L. Srivastava, O. P. Juneja (1967)
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Mansoor Ahmad (1968)
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H. S. Kasana, Devendra Kumar (1994)
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In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
Xiao, Yong-Huo, Li, Xiao-Min (2008)
Applied Mathematics E-Notes [electronic only]
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S. Daoud (1985)
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S. N. Srivastava, Vinita Vijai (1989)
Collectanea Mathematica
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Agarwal, A.K. (1969)
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Portugaliae mathematica
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