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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 3

A New Generalized $q$-Szasz-Mirakyan-Kantorovich Operators

Harun Çiçek(BITLIS EREN UNIVERSITY)0000-0003-3018-3015
Betül Öztel(ISTANBUL ESENYURT UNIVERSITY)0000-0002-5973-9323
Aydın İzgi(HARRAN UNIVERSITY)0000-0003-3715-8621
Sayfa
—
Yayın Tarihi
2026-10-13
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Subsequently, a novel generalized $q$-Szasz-Mirakyan-Kantorovich operator on $q$-integers is constructed, and the classical and statistical approximation properties of this new q-operator are studied.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present study, a novel generalization of the Szasz-Mirakyan-Kantorovich operators is delineated.
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Temel Bulgular & Veri:Utilising the continuity modulus and functions satisfying the Lipschitz condition, the rate of approximation of the operator is calculated.
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Sonuç & Katkı:Subsequently, a novel generalized $q$-Szasz-Mirakyan-Kantorovich operator on $q$-integers is constructed, and the classical and statistical approximation properties of this new q-operator are studied.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Approximation theory · linear positive operators · q-analysis

Abstract

In the present study, a novel generalization of the Szasz-Mirakyan-Kantorovich operators is delineated. The approximation properties of the aforementioned operator are investigated. Utilising the continuity modulus and functions satisfying the Lipschitz condition, the rate of approximation of the operator is calculated. The study further involves the graphical representation of the convergence of the Szasz-Mirakyan-Kantorovich operator to selected continuous functions. The margins of error in the approximation of the function are tabulated. Subsequently, a novel generalized $q$-Szasz-Mirakyan-Kantorovich operator on $q$-integers is constructed, and the classical and statistical approximation properties of this new q-operator are studied.

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Bu Makaleye Atıf Yap

Çiçek, H., Öztel, B., İzgi, A. (2026). A New Generalized $q$-Szasz-Mirakyan-Kantorovich Operators. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 3. https://doi.org/10.47000/tjmcs.1838676

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Kaynakça (23)

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