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Fine spectra of the discrete generalized Cesàro operator on Banach sequence spacesThis paper concerns the spectrum and the fine spectrum of the discrete generalized Cesàro operator

Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators setting. In addition we discuss and derive Bohr-Rogosinski's radii for Cesáro operators on the space

On the Bohr inequality for the Cesáro operator an analog of Bohr's results for the Cesáro operator acting on the space of holomorphic functions defined

Correction to: Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces (Monatshefte für Mathematik, (2020), 10.1007/s00605-020-01376-w)Correction to: Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces

Cesaro sequences and Cesaro hereditary automataWe consider a class of so-called cesaro sequences over a finite alphabet, which possess

Cesaro-heredity property in the shift register family shift registers, shift registers with internal XOR. We study the cesaro-heredity property of automata

On existence conditions for sequences uniformly distributed with respect to Voronoi's methods of ones, the methods of Voronoi and Riesz coincide with the classical methods of Cesaro's arithmetic means

A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces is proved under a Cesàro type condition which is weaker than Cesàro uniform integrability. The sharpness

Hardy-type theorems on Fourier transforms revisedHardy and Hardy–Cesàro averages

A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces is proved under a Cesàro type condition which is weaker than Cesàro uniform integrability. The sharpness

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