Document Details

Document Type : Article In Journal 
Document Title :
Best L -Approximations to Continuous and Quasi-ContinJous Functions by Non-Decreasing Functions on the Unit Square
أفضل تقريبات LP للدول المتصلة وشبه المتصلة بإستخدام الدوال غير التناقصية على الوحدة المربعة
 
Subject : mathematics 
Document Language : English 
Abstract : he author introduces the definition of quasi-continuity on the unit square [0,1] x [0,1]. LetQ be the Banach space, under the sup-norm, of quasi-continuous functions on the unit square. Let M denote the closed convex cone in Q comprised of non-decreasing functions on the unit square. Let C be the space of continuous functions on the unit square. For f E Q and 1< p < 00, letf denote the bestL -approximation tofbyelementsofM. He P .p shows that ~ converges uniformly as ptends to infinity to abestL=-appr9ximation by elements of M. Moreover if f E C, then each ~ EC and so is f=. 
ISSN : 1012-1319 
Journal Name : Science Journal 
Volume : 1 
Issue Number : 1 
Publishing Year : 1409 AH
1989 AD 
Number Of Pages : 11 
Article Type : Article 
Added Date : Sunday, October 11, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
سالم م . سحابSALEM M. A. SAHAB Researcher  

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