TRIGONOMETRIC JACKSON INTEGRALS APPROXIMATION BY A k-GENERALIZED MODULUS OF SMOOTHNESS

Hawraa Abbas Almurieb, Zainab Abdulmunim Sharba, Mayada Ali Kareem

Abstract


The need for smoothness measures emerged by mathematicians working in the fields of approximation theory, functional analysis and real analysis. In the present paper, anew version of generalized modulus of smoothness is studied. The aim of defining that modulus,is to find the degree of best Lp functions approximation via trigonometric polynomials.We benefit from Jackson integrals to arrive to the essential approximation theorems

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea