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A New 4-Point Quaternary Approximating Subdivision Scheme

Author

Listed:
  • Ghulam Mustafa
  • Faheem Khan

Abstract

A new 4-point quaternary approximating subdivision scheme with one shape parameter is proposed and analyzed. Its smoothness and approximation order are higher but support is smaller in comparison with the existing binary and ternary 4-point subdivision schemes.

Suggested Citation

  • Ghulam Mustafa & Faheem Khan, 2009. "A New 4-Point Quaternary Approximating Subdivision Scheme," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-14, June.
    • Handle: RePEc:hin:jnlaaa:301967
    DOI: 10.1155/2009/301967
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    Cited by:

    1. Aamir Shahzad & Faheem Khan & Abdul Ghaffar & Shao-Wen Yao & Mustafa Inc & Shafqat Ali, 2021. "A Novel Numerical Method for Computing Subdivision Depth of Quaternary Schemes," Mathematics, MDPI, vol. 9(8), pages 1-20, April.
    2. Sardar Muhammad Hussain & Aziz Ur Rehman & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Abdul Ghaffar & Samsul Ariffin Abdul Karim, 2020. "Generalized 5-Point Approximating Subdivision Scheme of Varying Arity," Mathematics, MDPI, vol. 8(4), pages 1-25, March.

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