Abstract In this paper, we establish a quantitative estimate for Durrmeyer-sampling type operators in the general framework of Orlicz spaces, using suitable modulus smoothness defined by involved modular functional. As consequence above result, can deduce estimates several instances such as $$L^p$$ L p...

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We propose certain Durrmeyer-type operators for Apostol-Genocchi polynomials in this research. We explore these operators' approximation attributes and measure the rate of convergence. In addition, we present a direct theorem based on first second-order modulus continuity, local findings Lipschitz class functions typical continuity. Finally, showed graph illustratin...