The Journal of the Indian Mathematical Society

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A Class of Linear Positive Operators


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For all functions f(x) bounded on the real axis and continuous in [ψ(0), ψ{a)], continuous on the right at ψ(a), and continuous on the left at ψ(0), the sequence {Ln(f; x)} converges uniformly f(ψ(x)) in [0, a].
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  • A Class of Linear Positive Operators

Abstract Views: 276  |  PDF Views: 0

Authors

P. Kesava Menon
A-45, D-II Flats, King Road, Moti Bagh, New Delhi, India

Abstract


For all functions f(x) bounded on the real axis and continuous in [ψ(0), ψ{a)], continuous on the right at ψ(a), and continuous on the left at ψ(0), the sequence {Ln(f; x)} converges uniformly f(ψ(x)) in [0, a].