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On the approximation by trigonometric polynomials in weighted Lorentz spaces
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نویسنده
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kokilashvili v. ,yildirir y.e.
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منبع
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journal of function spaces - 2010 - دوره : 8 - شماره : 1 - صفحه:67 -86
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چکیده
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We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted lorentz spaces,and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation,but also on the metric of the spaces. in weighted lorentz spaces l ps,this influence is expressed not only in terms of the parameter p,but also in terms of the second parameter s. copyright © 2010 hindawi publishing corporation.
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کلیدواژه
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Best approximation; trigonometric polynomials; weighted Lorentz spaces
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آدرس
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a. razmadze mathematical institute,aleksidze st. 1,tbilisi 0193,georgia,international black sea university,agmashenebeli alley 2, Georgia, balikesir university,faculty of education,department of mathematics,balikesir, Turkey
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Authors
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