Direct and inverse inequalities for Jackson polynomials of 2π- periodic bounded measurable functions in locally clobal norms
Other Title(s)
النظريات المباشرة و العكسية لمتعددات حدود جاكسون للدوال الدورية المقيدة القابلة للقياس في الفضاءات المحلية
Joint Authors
Jasim, Sahib Kahit
Muhammad, Nadiyah Jasim
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 23, Issue 2 (31 Aug. 2010)12 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2010-08-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract AR
تم في هذا البحث إيجاد تقدير أفضل لاقتراب الدوال المقيدة القابلة للقياس في الفضاءات (1 ≥ p < Lδ,p ∞) من التقديرات التي وجدها پوپوف.
كذلك تم إيجاد العلاقة بين نموذج القياس (f, 1 / n) p1τ و الفرق بين الدالة f و متعددة جاكسون أي وجدنا أن F, 1 / n)p ║ f-Jn (f) ║P)1τ
Abstract EN
Convergence properties of Jackson polynomials have been considered by Zugmund [1, ch.
X] in (1959) and J.
Szbados [2], (p = ∞) while in (1983) V.
A.
Popov and J.
Szabados [3] (1 ≤ p ≤ ∞) have proved a direct inequality for Jackson polynomials in Lp-space of 2 π-periodic bounded Riemann integrable functions (f ∈ R) in terms of some modulus of continuity. In 1991 S.
K.
Jassim proved direct and inverse inequality for Jackson polynomials in locally global norms (L δ, p) of 2 π -periodic bounded measurable functions (f ∈ L∞) in terms of suitable Peetre K-functional [4]. Now the aim of our paper is to proved direct and inverse inequalities for Jackson polynomials of (f ∈ L∞) in (L δ, p) in terms of the average modulus of continuity.
American Psychological Association (APA)
Jasim, Sahib Kahit& Muhammad, Nadiyah Jasim. 2010. Direct and inverse inequalities for Jackson polynomials of 2π- periodic bounded measurable functions in locally clobal norms. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 23, no. 2.
https://search.emarefa.net/detail/BIM-287649
Modern Language Association (MLA)
Jasim, Sahib Kahit& Muhammad, Nadiyah Jasim. Direct and inverse inequalities for Jackson polynomials of 2π- periodic bounded measurable functions in locally clobal norms. Ibn al-Haitham Journal for Pure and Applied Science Vol. 23, no. 2 (2010).
https://search.emarefa.net/detail/BIM-287649
American Medical Association (AMA)
Jasim, Sahib Kahit& Muhammad, Nadiyah Jasim. Direct and inverse inequalities for Jackson polynomials of 2π- periodic bounded measurable functions in locally clobal norms. Ibn al-Haitham Journal for Pure and Applied Science. 2010. Vol. 23, no. 2.
https://search.emarefa.net/detail/BIM-287649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-287649