التفاصيل البيبلوغرافية
| العنوان: |
Uniform convergence of basic Fourier-Bessel series on a q -linear grid. |
| المؤلفون: |
Abreu LD; 1Acoustics Research Institute, Austrian Academy of Sciences, Vienna, Austria., Álvarez-Nodarse R; 2Dep. de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain., Cardoso JL; 3Dep. de Matemática, Universidade de Trás-os-Montes e Alto Douro (UTAD), Vila Real, Portugal. |
| المصدر: |
The Ramanujan journal [Ramanujan J] 2019; Vol. 49 (2), pp. 421-449. Date of Electronic Publication: 2018 Sep 20. |
| نوع المنشور: |
Journal Article |
| اللغة: |
English |
| بيانات الدورية: |
Publisher: Kluwer Academic Publishers Country of Publication: United States NLM ID: 101748674 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1572-9303 (Electronic) Linking ISSN: 13824090 NLM ISO Abbreviation: Ramanujan J Subsets: PubMed not MEDLINE |
| أسماء مطبوعة: |
Original Publication: Norwell, MA : Kluwer Academic Publishers, ©1997- |
| مستخلص: |
We study Fourier-Bessel series on a q -linear grid, defined as expansions in complete q -orthogonal systems constructed with the third Jackson q -Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q -Fourier-Bessel series. |
| معلومات مُعتمدة: |
P 31225 Austria FWF_ Austrian Science Fund FWF |
| فهرسة مساهمة: |
Keywords: Basic Fourier expansions; Hahn–Exton q-Bessel function; Third Jackson q-Bessel function; Uniform convergence; q-Fourier series; q-Linear grid |
| تواريخ الأحداث: |
Date Created: 20190702 Latest Revision: 20240214 |
| رمز التحديث: |
20240214 |
| مُعرف محوري في PubMed: |
PMC6559159 |
| DOI: |
10.1007/s11139-018-0070-3 |
| PMID: |
31258382 |
| قاعدة البيانات: |
MEDLINE |
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