• Corpus ID: 238259831

Jackson-Stechkin type inequalities for differentiable functions in weighted Orlicz spaces

  title={Jackson-Stechkin type inequalities for differentiable functions in weighted Orlicz spaces},
  author={Ramazan Akgun},
In the present work some Jackson Stechkin type direct theorems of trigonometric approximation are proved in Orlicz spaces with weights satisfying some Muckenhoupt's $A_{p}$ condition. To obtain refined version of the Jackson type inequality we prove an extrapolation theorem, Marcinkiewicz multiplier theorem and Littlewood Paley type results. As a consequence refined inverse Marchaud type inequalities are obtained. By means of a realization result we find an equivalence between the fractional… 


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