On Convergence of Orthogonal Expansion of a Function From the Class in the Eigenfunctions of a Differential Operator of the Third Order | Zendy

Aygun Garayeva | Zendy; Fatima Guliyeva | Zendy

Open Access

On Convergence of Orthogonal Expansion of a Function From the Class in the Eigenfunctions of a Differential Operator of the Third Order

Author(s) -

Aygun Garayeva,

Fatima Guliyeva

Publication year - 2021

Publication title -

wseas transactions on advances in engineering education

Language(s) - English

Resource type - Journals

eISSN - 2224-3410

pISSN - 1790-1979

DOI - 10.37394/232010.2021.18.16

Subject(s) - eigenfunction , mathematics , differential operator , operator (biology) , mathematical analysis , convergence (economics) , third order , normal convergence , uniform convergence , function (biology) , order (exchange) , class (philosophy) , rate of convergence , physics , eigenvalues and eigenvectors , key (lock) , computer science , philosophy , repressor , artificial intelligence , economic growth , computer network , chemistry , theology , bandwidth (computing) , biology , biochemistry , quantum mechanics , evolutionary biology , transcription factor , finance , economics , gene , computer security

We consider a third-order ordinary differential operator with summable coefficients. The absolute and uniform convergence of the orthogonal expansion of a function from the class in the eigenfunctionsof this operator is studied and the rate of uniform convergence of these expansions on is estimated

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