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Pointwise $$\left( H,\Phi \right) $$H,Φ Strong Approximation by Fourier Series of $$L^{1}$$L1 Integrable Functions

Pointwise $$\left( H,\Phi \right) $$H,Φ Strong Approximation by Fourier Series of $$L^{1}$$L1 Integrable Functions

We will present an estimation of the generalized strong mean $$\left( H,\Phi \right) $$ as an approximation version of the Totik type generalization of the results of J. Marcinkiewicz and A. Zygmund on strong summability of Fourier series of integrable functions. As a measure of such approximation we will use …