Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent
The approximation properties of various classical methods of linear summation of Fourier series in weighted spaces of Orlicz type with variable exponent are considered. In particular, in terms of approximation by such methods the constructive characterizations for classes of functions whose moduli o...
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| Language: | English |
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Oles Honchar Dnipro National University
2024-12-01
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| Series: | Researches in Mathematics |
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| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/433/433 |
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| author | S.O. Chaichenko A.L. Shidlich |
| author_facet | S.O. Chaichenko A.L. Shidlich |
| author_sort | S.O. Chaichenko |
| collection | DOAJ |
| description | The approximation properties of various classical methods of linear summation of Fourier series in weighted spaces of Orlicz type with variable exponent are considered. In particular, in terms of approximation by such methods the constructive characterizations for classes of functions whose moduli of smoothness do not exceed some majorant are obtained. |
| format | Article |
| id | doaj-art-6fdc981dac5947e3960242993998e2e6 |
| institution | Kabale University |
| issn | 2664-4991 2664-5009 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Researches in Mathematics |
| spelling | doaj-art-6fdc981dac5947e3960242993998e2e62025-01-05T19:32:05ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092024-12-01322708710.15421/242420Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponentS.O. Chaichenko0https://orcid.org/0000-0002-2724-8749A.L. Shidlich1https://orcid.org/0000-0002-6421-9277Donbas State Pedagogical UniversityInstitute of Mathematics of the NAS of Ukraine, National University of Life and Environmental Sciences of UkraineThe approximation properties of various classical methods of linear summation of Fourier series in weighted spaces of Orlicz type with variable exponent are considered. In particular, in terms of approximation by such methods the constructive characterizations for classes of functions whose moduli of smoothness do not exceed some majorant are obtained.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/433/433direct approximation theoreminverse approximation theoremmodulus of smoothnessspaces with variable exponentzygmund meansabel-poisson meanstaylor-abel-poisson meansde la vallée poussin means |
| spellingShingle | S.O. Chaichenko A.L. Shidlich Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent Researches in Mathematics direct approximation theorem inverse approximation theorem modulus of smoothness spaces with variable exponent zygmund means abel-poisson means taylor-abel-poisson means de la vallée poussin means |
| title | Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent |
| title_full | Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent |
| title_fullStr | Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent |
| title_full_unstemmed | Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent |
| title_short | Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent |
| title_sort | approximation of functions by linear methods in weighted orlicz type spaces with variable exponent |
| topic | direct approximation theorem inverse approximation theorem modulus of smoothness spaces with variable exponent zygmund means abel-poisson means taylor-abel-poisson means de la vallée poussin means |
| url | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/433/433 |
| work_keys_str_mv | AT sochaichenko approximationoffunctionsbylinearmethodsinweightedorlicztypespaceswithvariableexponent AT alshidlich approximationoffunctionsbylinearmethodsinweightedorlicztypespaceswithvariableexponent |