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    Quantitative Voronovskaya Type Theorems For A General Sequence of Linear Positive Operators
    (Univ Nis, Fac Sci Math, 2019) Aral, Ali; Tachev, Gancho
    The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid for unbounded functions with polynomial growth. We present some applications of the general results by considering particular sequences of positive linear operators.
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    Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions
    (Springer Basel Ag, 2016) Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, Gancho
    We prove quantitative Voronovskaya-type results and Gruss-Voronovskaya inequalities for polynomially bounded functions. The results are given in terms of suitable K-functionals and applied to linking Szasz-Mirakyan and Baskakov operators.
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    Voronovskaja's theorem for functions with exponential growth
    (WALTER DE GRUYTER GMBH, 2020) Tachev, Gancho; Gupta, Vijay; Aral, Ali
    In the present paper we establish a general form of Voronovskaja's theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szasz-Mirakyan and Baskakov-type operators.