Approximation of Functions of the Classes <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">C</mi><mrow><mi mathvariant="bold-italic">β</mi></mrow><mi mathvariant="bold-italic">ψ</mi></msubsup><msup><mi mathvariant="bold-italic">H</mi><mi mathvariant="bold-italic">α</mi></msup></mrow></semantics></math></inline-formula> by Linear Methods Summation of Their Fourier Series

In this paper, we considered arbitrary linear summation methods of Fourier series specified by a set of continuous functions dependent on the real parameter and established their approximation properties. We obtained asymptotic formulas for the exact upper bounds of the deviations of operators gener...

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التفاصيل البيبلوغرافية

الحاوية / القاعدة:	Axioms
المؤلفون الرئيسيون:	Yurii Kharkevych, Inna Kal’chuk
التنسيق:	مقال
اللغة:	الإنجليزية
منشور في:	MDPI AG 2023-10-01
الموضوعات:	classes of (<i>ψ</i>,<i>β</i>)-differentiable functions Fourier series λ-methods summation asymptotic equality uniform metric
الوصول للمادة أونلاين:	https://www.mdpi.com/2075-1680/12/11/1010