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Degree of Approximation of Functions Class by the Means in the Hölder Metric

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  • Vishnu Narayan Mishra
  • Kejal Khatri

Abstract

A new estimate for the degree of approximation of a function class by means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our main theorem.

Suggested Citation

  • Vishnu Narayan Mishra & Kejal Khatri, 2014. "Degree of Approximation of Functions Class by the Means in the Hölder Metric," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jijmms:837408
    DOI: 10.1155/2014/837408
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    References listed on IDEAS

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    1. Tikam Singh & Pravin Mahajan, 2008. "Error Bound of Periodic Signals in the Hölder Metric," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-9, April.
    2. Vishnu Narayan Mishra & Kejal Khatri & Lakshmi Narayan Mishra, 2012. "Product Summability Transform of Conjugate Series of Fourier Series," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, July.
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