2022
DOI: 10.32513/asetmj/19322008210
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On a Stancu form Szász-Mirakjan-Kantorovich operators based on shape parameter $\lambda$

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Cited by 8 publications
(4 citation statements)
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References 27 publications
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“…In [5], Dubey and Jain proposed the integral modification of the Szász-Mirakjan operators to approximate integrable functions on the interval [0, ∞], and in [9], Gupta and Sinha studied some direct results on certain Szász-Mirakjan operators. Some related problems were considered by many authors, see for example [1,2,5,10,[13][14][15][16][17][18][19][20][21][22][23] and the references therein.…”
Section: Introduction and Auxiliary Resultsmentioning
confidence: 99%
“…In [5], Dubey and Jain proposed the integral modification of the Szász-Mirakjan operators to approximate integrable functions on the interval [0, ∞], and in [9], Gupta and Sinha studied some direct results on certain Szász-Mirakjan operators. Some related problems were considered by many authors, see for example [1,2,5,10,[13][14][15][16][17][18][19][20][21][22][23] and the references therein.…”
Section: Introduction and Auxiliary Resultsmentioning
confidence: 99%
“…Several mathematicians extended Korovkin-type approximation theorems by incorporating Banach spaces, Banach algebras, function spaces and abstract Banach lattices, as well as utilising other test functions as in [13][14][15][16][17]. Statistical convergence plays a very important part in approximation theory out of all the approaches available to determine the rate of convergence of different linear positive operators.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Mohiuddine et al [6], Acu et al [7], İçöz and Çekim [8,9], and Kajla and Micláus [10,11] constructed new sequences of linear positive operators to investigate the rapidity of convergence and order of approximation in diferent functional spaces in terms of several generating functions. Some other researchers developed many other useful operators [6,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] in the same feld. In the recent past, for g ∈ [0, 1], m ∈ N and α ∈ [−1, 1], Chen et al [31] constructed a sequence of new linear positive operators as…”
Section: Introductionmentioning
confidence: 99%