Divergent Cesaro means of Fourier expansions with respect to polynomials associated with the measure | Zendy

Bujar Xh. Fejzullahu | Zendy

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Divergent Cesaro means of Fourier expansions with respect to polynomials associated with the measure

Author(s) -

Bujar Xh. Fejzullahu

Publication year - 2007

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil0702153f

Subject(s) - mathematics , measure (data warehouse) , almost everywhere , fourier transform , fourier series , pure mathematics , order (exchange) , function (biology) , jacobi polynomials , mathematical analysis , orthogonal polynomials , finance , database , evolutionary biology , computer science , economics , biology

We prove that, for certain indices of 6, there are functions whose Cesaro means of order 5 of the Fourier expansion with respect to the polynomials associated with the measure (1 - χ)α(l + χ)β + MAr, where At is the delta function at a point t, are divergent almost everywhere on [-1,1]. We follow Meaney's paper (2003), where divergent Cesaro and Riesz means of Jacobi expansions were proved. .

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