Bettin, SandroMolteni, GiuseppeSanna, CarloAdvances in MathematicsS. Bettin, G. Molteni, and C. Sanna, Greedy approximations by signed harmonic sums and the Thue- Morse sequence, preprint arXiv:1805.00075, http://arxiv.org/abs/1805.00075, 2018.
Sequences(Mathematics)Approximation(Mathematics)Discrete distributionLeast squares methodOrthogonalityScalar functionsWeighting functionsReprintsIf p 0,…, p n is an orthogonal sequence, with p j a monic polynomial of exact degree j, all j, then the sequence q 0,…, q n of monic polynomials ...
H. Niederreiter, Application of Diophantine Approximations to Numerical Integration, Diophantine Approximation and its Applications, Ed. C. F. Osgood (1973), pp. 129–199. Y. Ohkubo, Notes on Erdős-Turán inequality, to appear. E. C. Titchmarsh, The Theory of the Riemann Zeta-function, rev...
Two important types of sequences in mathematics are the arithmetic and geometric sequences. For those, recursive formulas allow us to determine a term knowing the previous one. It is also possible to find a generic term of those sequences using an explicit (that is, exact or definite) ...
and by giving sharp metric estimates for such products we derive sharp metric estimates for exponential sums of and for the discrepancy of Furthermore, we comment on the connection between our results and an open problem in the metric theory of Diophantine approximation, and we provide some explic...
I. Udalaya, “Absolute summability of series using integral methods,” in: Investigations of Modern Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk (1972), pp. 92–95. I. I. Ogievetskii, “Summation theory of bounded sequences using ...
In prac- tice, according to Benos et al., this independence is a good approximation [25]. For a motif of size w, a PSSM takes the form of a matrix 4 × w. More details can be reviewed at [26]. The fitness of each individual was calculated using the bi-objective weighted sum ...
analyticfunctionsSteklovfunctionIn this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived. Moreover, a generalization of this operator sequence called Kantorovich type generalization is introduced.View ...
Fibonacci, medieval Italian mathematician who wrote Liber abaci (1202; ‘Book of the Abacus’), the first European work on Indian and Arabian mathematics, which introduced Hindu-Arabic numerals to Europe. His name is mainly known because of the Fibonacci
The Golden Ratio is found in art, architecture, and nature.In fact, the bigger the pair of Fibonacci Numbers, the closer the approximation. Let us try a few:A B B / A 2 3 1.5 3 5 1.666666666... 5 8 1.6 8 13 1.625 ... ... ... 144 233 1.618055556... 233 377 1.618025751.....