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    A Class of Integral Operators that Fix Exponential Functions
    (Springer Basel Ag, 2021) Bardaro, Carlo; Mantellini, Ilaria; Uysal, Gumrah; Yılmaz, Başar
    In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss-Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.
  • Küçük Resim
    Öğe
    On Singular Integral Operators Involving Power Nonlinearity
    (Kangwon-Kyungki Mathematical Soc, 2017) Almali, Sevgi Esen; Uysal, Gumrah; Mishra, Vishnu Narayan; Guller, Ozge Ozalp
    In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power non linearity given in the following form: T-lambda(f;x) = integral(b)(a) Sigma(n)(m=1) f(m)(t)K-lambda,K-m(x,t)dt, lambda epsilon Lambda, x epsilon (a, b), where A is an index set consisting of the non-negative real numbers, and n >= 1 is a finite natural number, at mu-generalized Lebesgue points of integrable function f epsilon L-1 (a, b). Here, f(m) denotes m - th power of the function f and (a, b) stands for arbitrary bounded interval in or I itself. We also handled the indicated problem under the assumption f epsilon L-1 (N)