Geodesic
Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 2, pp. 209-225

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The present article deals with approximation results by means of the Lipschitz maximal function, Ditzian-Totik modulus of smoothness, and Lipschitz type space having two parameters for the summation-integral type operators defined by Mishra and Yadav [22]. Further, we determine the rate of convergence in terms of the derivative of bounded variation. To estimate the quantitative results of the defined operators, we establish quantitative Voronovskaya type and Gruss type theorems. Moreover; examples are given with graphical representation to support the main results. 
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     author = {R. Yadav and R. Meher and V. N. Mishra},
     title = {Approximation properties by some modified {Szasz-Mirakjan-Kantorovich} operators},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {209--225},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2022_25_2_a7/}
}
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R. Yadav; R. Meher; V. N. Mishra. Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 2, pp. 209-225. http://geodesic.mathdoc.fr/item/SJVM_2022_25_2_a7/