Approximation by Jakimovski-Leviatan-Paltanea operators involving Boas-Buck-type polynomials

  • Ajay Kumar
  • Lakshmi Narayan Mishra School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632014, Tamil Nadu, India.
  • Vishnu Narayan Mishra Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India


In the present paper, we consider Stancu-Jakimovski-Leviatan-P$\breve{\mbox{a}}$lt$\breve{\mbox{a}}$nea
operators (SJLP-operators) involving Boas-Buck-Type polynomials. These polynomials include several important cases such as Brenke-type polynomials, Sheffer polynomials and Appell polynomials. We estimate the approximation properties of these operators using modulus of continuity, Peetre's K-functional and functions in Lipschitz type space. Moreover, we also prove some approximation results in the weighted spaces. Lastly, we discuss a Voronoskaja type theorem.