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Integer partitions detect the primes. [PDF]

Proc Natl Acad Sci U S A
Craig W, van Ittersum JW, Ono K.
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Stancu-Durrmeyer Type Operators Based on q-Integers

Applied Mathematics & Information Sciences, 2017
In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem and approximation for a Lipschitz type space.
Neer T., Agrawal P.N., Araci S.
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Bernstein–Schurer–Kantorovich operators based on q-integers

Applied Mathematics and Computation, 2015
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Agrawal, P. N., Finta, Zoltán, Sathish Kumar, A.   +2 more
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On generalized integral Bernstein operators based on q-integers

Applied Mathematics and Computation, 2014
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Mishra, Vishnu Narayan, Patel, Prashantkumar   +1 more
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Stancu–Schurer–Kantorovich operators based on q-integers

Applied Mathematics and Computation, 2015
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Approximation by Baskakov-Durrmeyer-Stancu operators based on q-integers

Lobachevskii Journal of Mathematics, 2013
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Verma, D. K., Agrawal, P. N.
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GBS operators of Bernstein–Schurer–Kantorovich type based on q-integers

Applied Mathematics and Computation, 2015
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Sidharth, Manjari, Agrawal, P. N., İSPİR, NURHAYAT   +2 more
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Modified Baskakov-Szász Operators Based on q-Integers

2015
In the present paper we introduce the Stancu variant of certain q-modified Baskakov \(Sz\acute{a}sz\) operators. We estimate the moments of the operators and obtain some direct results in terms of the modulus of continuity. Then, we study the Voronovskaja type theorem and the rate of convergence of these operators in terms of the weighted modulus of ...
P. N. Agrawal, Arun Kajla
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An elaboration of the Cai–Xu result on (p, q)-integers

Afrika Matematika, 2020
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Stancu type generalization of modified Schurer operators based on q-integers

Applied Mathematics and Computation, 2014
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Agrawal, P. N., Sathish Kumar, A., Sinha, T. A. K.   +2 more
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