Geodesic
Approximation by modified Lupa\c{s}-Stancu operators based on $(p, q)$-integers
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 39-51

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The purpose of this paper is to construct a new class of Lupaş operators in the frame of post quantum setting. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the concept of the $K$-functional and modulus of continuity, also give a convergence theorem for the Lipschitz continuous functions. 
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     author = {A. Khan and Z. Abbas and M. Qasim and M. Mursaleen},
     title = {Approximation by modified {Lupa\c{s}-Stancu} operators based on $(p, q)$-integers},
     journal = {Eurasian mathematical journal},
     pages = {39--51},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a4/}
}
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A. Khan; Z. Abbas; M. Qasim; M. Mursaleen. Approximation by modified Lupa\c{s}-Stancu operators based on $(p, q)$-integers. Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 39-51. http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a4/