Open AccessOn 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