APPROXIMATION PROPERTIES OF VARIANT OF SZÁSZ OPERATORS BASED ON BELL-SHEFFER POLYNOMIALS

Naim L. Braha; Toufik Mansour; Rachit Kajla

doi:10.7153/jmi-2026-20-41

APPROXIMATION PROPERTIES OF VARIANT OF SZÁSZ OPERATORS BASED ON BELL-SHEFFER POLYNOMIALS

Naim L. Braha
, Toufik Mansour
, Rachit Kajla

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, we have defined a new class of operator polynomials named the new variant of Szász operators based on Bell-Sheffer polynomials. For this class of operators, we have proved some direct results and error bounds using the modulus of continuity and smoothness. Next, we evaluate the rate of convergence for the functions with bounded variation derivatives. In the last part, we have proved some results in the weighted space of operators.

Original language	English
Pages (from-to)	687-705
Number of pages	19
Journal	Journal of Mathematical Inequalities
Volume	20
Issue number	2
DOIs	https://doi.org/10.7153/jmi-2026-20-41
State	Published - Jun 2026

Keywords

Szász operators based on Bell-Sheffer polynomials
modulus of continuity
modulus of smoothness
rate of the convergence
weighted spaces

ASJC Scopus subject areas

Analysis

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10.7153/jmi-2026-20-41

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title = "APPROXIMATION PROPERTIES OF VARIANT OF SZ{\'A}SZ OPERATORS BASED ON BELL-SHEFFER POLYNOMIALS",

abstract = "In this study, we have defined a new class of operator polynomials named the new variant of Sz{\'a}sz operators based on Bell-Sheffer polynomials. For this class of operators, we have proved some direct results and error bounds using the modulus of continuity and smoothness. Next, we evaluate the rate of convergence for the functions with bounded variation derivatives. In the last part, we have proved some results in the weighted space of operators.",

keywords = "Sz{\'a}sz operators based on Bell-Sheffer polynomials, modulus of continuity, modulus of smoothness, rate of the convergence, weighted spaces",

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year = "2026",

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AU - Kajla, Rachit

PY - 2026/6

Y1 - 2026/6

N2 - In this study, we have defined a new class of operator polynomials named the new variant of Szász operators based on Bell-Sheffer polynomials. For this class of operators, we have proved some direct results and error bounds using the modulus of continuity and smoothness. Next, we evaluate the rate of convergence for the functions with bounded variation derivatives. In the last part, we have proved some results in the weighted space of operators.

AB - In this study, we have defined a new class of operator polynomials named the new variant of Szász operators based on Bell-Sheffer polynomials. For this class of operators, we have proved some direct results and error bounds using the modulus of continuity and smoothness. Next, we evaluate the rate of convergence for the functions with bounded variation derivatives. In the last part, we have proved some results in the weighted space of operators.

KW - Szász operators based on Bell-Sheffer polynomials

KW - modulus of continuity

KW - modulus of smoothness

KW - rate of the convergence

KW - weighted spaces

UR - https://www.scopus.com/pages/publications/105044934131

U2 - 10.7153/jmi-2026-20-41

DO - 10.7153/jmi-2026-20-41

M3 - Article

SN - 1846-579X

VL - 20

SP - 687

EP - 705

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 2

ER -

APPROXIMATION PROPERTIES OF VARIANT OF SZÁSZ OPERATORS BASED ON BELL-SHEFFER POLYNOMIALS

Abstract

Keywords

ASJC Scopus subject areas

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