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Some Intrinsic Properties of Tadmor–Tanner Functions: Related Problems and Possible Applications

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  • Nikolay Kyurkchiev

    (Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, Bulgaria)

Abstract

In this paper, we study some properties of an exponentially optimal filter proposed by Tadmor and Tanner. More precisely, we consider the problem for approximating the function of rectangular type F ( t ) by the class of exponential functions σ a d a p t ( t ) about the Hausdorff metric. We prove upper and lower estimates for “saturation”— d (in the case q = 2 ). New activation and “semi-activation” functions based on σ a d a p t ( t ) are defined. Some related problems are discussed. We also consider modified families of functions with “polynomial variable transfer”. Numerical examples, illustrating our results using CAS MATHEMATICA are given.

Suggested Citation

  • Nikolay Kyurkchiev, 2020. "Some Intrinsic Properties of Tadmor–Tanner Functions: Related Problems and Possible Applications," Mathematics, MDPI, vol. 8(11), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1963-:d:440538
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    References listed on IDEAS

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    1. Iris, Çağatay & Pacino, Dario & Ropke, Stefan & Larsen, Allan, 2015. "Integrated Berth Allocation and Quay Crane Assignment Problem: Set partitioning models and computational results," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 75-97.
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    Cited by:

    1. Maria T. Vasileva, 2023. "On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications," Mathematics, MDPI, vol. 11(22), pages 1-11, November.
    2. Nikolay Kyurkchiev & Tsvetelin Zaevski & Anton Iliev & Todor Branzov & Vesselin Kyurkchiev & Asen Rahnev, 2024. "Dynamics of Some Perturbed Morse-Type Oscillators: Simulations and Applications," Mathematics, MDPI, vol. 12(21), pages 1-23, October.

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