A certain family of summation-integral type operators

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Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions (2009, background): “Various approximation properties of the Szász-Mirakjan operators and their iterates may be found in [1, 3, 4, 5, 6, 8, 10, 11, 12] and the references cited therein.”
Stability and existence results for a class of nonlinear fractional differential equations with singularity (2018, unknown): “u(t) = 1 ∫ 0 β(t, s)φq( 1 Γ(σ) s ∫ 0 (s − θ)σ−1 (θ)ψ1(θ,u(θ)))dθds, (3) where β(t, s) is a Green function given by β(t, s) = ⎧⎪⎨⎪⎩ −(t−s)β−1 Γ(β) + t β−1(1−s)β−δ−1 Γ(β) , s ≤ t ≤ 1, tβ−1(1−s)β−δ−1 Γ(β) , t ≤ s ≤ 1.”
Convergence of derivatives for certain mixed Szasz-Beta operators (2006, background): “Ispir and Yuksel [4] considered the Bezier variant of the operators studied in [6] and estimated the rate of convergence for bounded variation functions.”
ON THE BEZIER VARIANT OF SRIVASTAVA-GUPTA OPERATORS (2005, methodology): “1 Introduction To approximate integrable functions on the interval [0,∞) , Srivastava and Gupta [8] introduced a general sequence of linear positive operators Gn,c and estimated the rate of convergence of Gn,c(f ;x) by means of the decomposition technique for functions of bounded variation.”