On a class of modied new Bernstein operators
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In this paper, by giving a slight modification of the class of new Bernstein type operators introduved in [3], we introduce a class of modified new Bernstein type operators and claim that the midified new Bernstein type operators is more close to classcial Bernstein polynomial in comparison to operators defined in [3]. We prove Voronovskaja type theorem for these operators. We also present a q-analogue of these operators which is an interesting generalizaiton of Bernstein polynomials based on the q-integers, introduved by G M Phillips in [10].
Abstract
In this paper, by giving a slight modification of the class of new Bernstein type operators introduved in [3], we introduce a class of modified new Bernstein type operators and claim that the midified new Bernstein type operators is more close to classcial Bernstein polynomial in comparison to operators defined in [3]. We prove Voronovskaja type theorem for these operators. We also present a q-analogue of these operators which is an interesting generalizaiton of Bernstein polynomials based on the q-integers, introduved by G M Phillips in [10].
참고문헌 (18)
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