q)$-integers
Some approximation results on Bernstein Schurer operators defined by \((p,q)\) integers
... of q-integers, the q-Bernstein operators were introduced by Lupaş [] and later by Philip ...introduced q-generalization of various operators and investigated several approximation ...the ...
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Szász Baskakov type operators based on q integers
... on q-integers and established some direct results and gave two representations of the rth q-derivative of these ...order q-derivatives, a Voronovskaja type theorem, and some more properties of ...
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Ibragimov–Gadjiev operators based on q integers
... involving q-integers by Lupaş [9] and then by Phillips [10], many authors studied a q-based generalization of the linear positive operators, some of them may be found in ...the q-generalized ...
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A new kind of Bernstein Schurer Stancu Kantorovich type operators based on q integers
... Let I = [, + p] and p ∈ N ∪ { } . For f ∈ C(I), the space of all continuous functions on I endowed with the norm f = sup x∈[,+p] |f (x) | and < q < , Ren and Zeng [] defined the following new ...
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Approximation by \((p,q)\) Lupaş–Schurer–Kantorovich operators
... the q-generalization of Bernstein operators in rational form. Some other q-Bernstein polynomial was defined by Phillips [22] in ...ment q-calculus applications established a precedent in the field of ...
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Approximation by $(p,q)$-Lupac{s} Stancu Operators
... on q-integers, Lupa¸s [21] introduced the first q-Bernstein operators [6] and investigated its approximating and shape-preserving proper- ...Another q-analogue of the Bernstein polynomials is ...
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Approximation properties of bivariate extension of q Szász Mirakjan Kantorovich operators
... On the other hand, Stancu [] first introduced linear positive operators in two and several dimensional variables. Afterward, Barbosu [] introduced a generalization of two-dimensional Bernstein operators based on ...
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Bleimann, Butzer, and Hahn Operators Based on the Integers
... on q-integers (see [19]). If we choose γ = 0 and q = 1, then the operators become the special case of Bal´azs-type generalization of the operators ...
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A note on type 2 q Bernoulli and type 2 q Euler polynomials
... the q- analogues of Faulhaber’s well-known formula expressing the power sums in terms of Bernoulli ...odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd ...
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Shape preserving properties of a new family of generalized Bernstein operators
... on q-integers was proposed by Lupaş in 1987 in ...Lupaş q-Bernstein operators are rational functions rather than ...Phillips q-Bernstein polynomials, and for decades thereafter the application ...
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Primality Testing Using Complex Integers and Pythagorean Triplets
... There are many ways to test an integer for primality. The Sieve of Eratosthenes, although able to detect all primes, has a time complexity in the order of n, [4]. Fer- mat’s Little Theorem (FLT) can be used to test for ...
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Pentagonal Graceful Labeling of Caterpillar Graphs
... and q edges is said to admit pentagonal graceful labeling if its vertices can be labeled by non negative integers such that the induced edge labels obtained by the absolute difference of the labels of end ...
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Some Polygonal Sum Labeling of Paths
... A (p,q) graph G is said to admit a polygonal sum labeling if its vertices can be labeled by non -negative integers such that the induced edge labels obtained by the sum of the labels of end vertices are the ...
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Wrapped Skew Laplace Distribution on Integers:A New Probability Model for Circular Data
... As we know, reduction modulo 2π wraps the line onto the circle, reduction modulo 2πm (if m is a positive in- teger) wraps the integers onto the group of root of 1, regarded as a subgroup of the circle. That is, if ...
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A Parallel Probabilistic Approach to Factorize a Semiprime
... and q , such that 3 ≤ < p q ...k q p = be the divisor-ratio of the se- miprime N pq = ; article [6] discovered the genetic property of the odd integers and proved that the small divisor p ...
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Three Fascinating Pairs
... Number theory along with Geometry [1] is one of the two oldest branches of Mathematics. Number theory, as a fundamental body of knowledge, has played a significant role in the development of Mathematics. The study of ...
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Dunkl generalization of q Szász Mirakjan Kantorovich operators which preserve some test functions
... theory, q-calculus plays an important role. In , the first q-analog of the well-known Bernstein polynomial was introduced by Lupas ...the q-analog of various operators and investigated their ...
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Tetrahedral and Pentatopic Sum Labeling of Graphs
... (p, q) graph G is said to admit tetrahedral or pentatopic sum la- beling if its vertices can be labeled by non negative integers such that the induced edge labels obtained by the sum of the labels of end ...
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... Integer Arithmetic: It involve the calculations among integers and always produce integer results.. Be careful while using integers for division.[r] ...
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Complete residue systems in the quadratic domain Z(e2πi/3)
... A Minimum Problem Connected with Complete Residue Systems in the Gaussian Integers, Amer.. Complete Residue Systems in the Gaussian Integers, Math.[r] ...
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