On the converse theorem of approximation in various metrics for nonperiodic functions | Zendy

Miloš Tomić | Zendy

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On the converse theorem of approximation in various metrics for nonperiodic functions

Author(s) -

Miloš Tomić

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1409161t

Subject(s) - converse , converse theorem , mathematics , exponential type , exponential function , smoothness , norm (philosophy) , modulus of continuity , metric (unit) , mathematical analysis , space (punctuation) , metric space , type (biology) , pure mathematics , computer science , geometry , ecology , operations management , political science , law , economics , biology , operating system , automorphic form

The modulus of smoothness in the norm of space Lq of nonperiodic functions of several variables is estimated by best approximations by entire functions of exponential type in the metric of space Lp, 1 ≤ p ≤ q < ∞.

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