Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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TRIGONOMETRIC JACKSON INTEGRALS APPROXIMATION BY A k-GENERALIZED MODULUS OF SMOOTHNESS

  • Hawraa Abbas, Almurieb (Department of Mathematics, College of Education for Pure Sciences, University of Babylon) ;
  • Zainab Abdulmunim, Sharba (Computer Science Department, College of Science for Women, University of Babylon) ;
  • Mayada Ali, Kareem (Department of Mathematics, College of Education for Pure Sciences, University of Babylon)
  • Received : 2022.01.17
  • Accepted : 2022.03.22
  • Published : 2022.12.06
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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, a new 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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References

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