We investigate the weighted approximation of functions in $$L_p$$ -norm by Kantorovich modifications of the classical Szasz–Mirakjan operator, with weights of type $$(1+x)^{\alpha }$$ , $$\alpha \in \mathbb {R}$$ .… Click to show full abstract
We investigate the weighted approximation of functions in $$L_p$$ -norm by Kantorovich modifications of the classical Szasz–Mirakjan operator, with weights of type $$(1+x)^{\alpha }$$ , $$\alpha \in \mathbb {R}$$ . By defining an appropriate K-functional we prove direct inequality for them.
               
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