3 citations · 6 across the 12 of their papers we have counts for
5 papers · 1 filter
Hardy's inequalities in finite dimensional Hilbert spaces
Dimitar K. Dimitrov, Ivan Gadjev, Geno Nikolov +1
We study the behaviour of the smallest possible constants and in Hardy's inequalities $$ \sum_{k=1}^{n}\Big(\frac{1}{k}\sum_{j=1}^{k}a_j\Big)^2\leq d_n\,\sum_{k=1}^{n}a…
A discrete weighted Markov--Bernstein inequality for polynomials and sequences
Dimitar K. Dimitrov, Geno P. Nikolov
For parameters and , let be the Hilbert space of real functions defined on (i.e., real sequences), for which $$ \| f \|_…
On the extreme zeros of Jacobi polynomials
Geno Nikolov
By applying the Euler--Rayleigh methods to a specific representation of the Jacobi polynomials as hypergeometric functions, we obtain new bounds for their largest zeros. In particu…
Turán's inequality for ultraspherical polynomials revisited
Geno Nikolov
We present a short proof that the normalized Turán determinant in the ultraspherical case is convex or concave depending on whether parameter is positive or negative.
Some inequalities for Chebyshev polynomials
Geno Nikolov
Askey and Gasper (1976) proved a trigonometric inequality which improves another trigonometric inequality found by M. S. Robertson (1945). Here these inequalities are reformulated…