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On p-adic analogue of q-Bernstein polynomials and related integrals
q-Bernstein polynomial Bernoulli numbers and poly-nomials p-adic q-integral
2010/12/8
Recently, T. Kim([5]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips q-Bernstein polynomials([11, 12]). The purpose of this paper is to study some propertie...
Some Results on the Unitary Analogue of the Lehmer Problem
Lehmer problem Unitary analogue of Lehmer problem
2010/1/22
Let be a positive integer with , and let denote the unitary analogue of Euler's totient function . Using Grytczuk-Wójtowicz's techniques from the paper [2] we strengthen considerably the lower estim...
Heisenberg Uncertainty Principles for Some $q^2$-Analogue Fourier Transforms
Heisenberg inequality $q$-Fourier transforms
2010/1/22
The aim of this paper is to state -analogues of the Heisenberg uncertainty principles for some -analogue Fourier transforms introduced and studied in [7,8].