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This research focuses on the approximation properties of a new class of q-Szász operators using wavelets.

May 27, 2026Journal of Function Spaces0 citationsOpen Access

Wavelets‐Associated Approximation to the Family of New Class of q ‐Szász Operators Via q ‐Analog

MNMd. NasiruzzamanUniversity of Tabuk ASAmel SouhailUniversity of Sfax AAAdel AlatawiUniversity of Tabuk

Key Points

This research focuses on the approximation properties of a new class of q-Szász operators using wavelets.
Constructed q-Szász-type operators and their Kantorovich variants.
Established L p approximation results for 1 ≤ p ≤ ∞.
Characterized second-order Lipschitz function spaces and derived L p inequalities using the Ditzian–Totik K-functional.
Demonstrated approximation properties for the new class of operators.
Established several significant L p inequalities supported by theoretical results.
Provided graphical representations and illustrative examples to validate findings.

Abstract

This study investigates the approximation properties of a recently developed class of q ‐Szász–Mirakjan operators integrated with wavelets. By constructing these q ‐Szász‐type operators and introducing their Kantorovich variants, we establish L p ‐approximation results for 1 ≤ p ≤ ∞. Furthermore, we characterize second‐order Lipschitz function spaces and derive several L p inequalities utilizing the Ditzian–Totik K ‐functional. The theoretical results are supported by graphical representations and illustrative examples. MSC2020 Classification: Primary 41A25, 41A36; Secondary 33C45.

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