Results 11 to 20 of about 72 (70)
Veterinary Dermatology, Volume 32, Issue 2, Page 114-e23, April 2021., 2021 Background – Canine atopic dermatitis (cAD) is a common inflammatory and pruritic skin disease, with various treatment options. The use of topical products containing natural ingredients has proven increasingly popular. Objective – To evaluate the effects of a spray solution containing heat‐killed Lactobacillus rhamnosus and L. reuteri, on the clinical
Domenico Santoro +3 more
wiley +1 more source
On convergence and divergence of Fourier expansions with respect to some Gegenbauer-Sobolev type inner product [PDF]
, 2009 11 pages, no figures.-- MSC2000 codes: 42C05, 42C10.In this paper we prove the failure of a.e. convergence of the Fourier expansion in terms of the orthonormal polynomials with respect to the above inner product [see full-text paper].
Marcellán, Francisco +2 more
core +3 more sources
Maximal operators of Fejér means of Walsh‐Kaczmarz‐Fourier series
Journal of Function Spaces, Volume 8, Issue 2, Page 181-200, 2010., 2010 The main aim of this paper is to prove that there exists a martingale f∈ H1/2 such that the maximal Fejér operator with respect to Walsh‐Kaczmarz system does not belong to the space L1/2. For the two‐dimensional case, we prove that there exists a martingale f∈H12/□(f∈H12/) such that the restricted (unrestricted) maximal operator of Fejér means of two ...
Ushangi Goginava +2 more
wiley +1 more source
On the denseness of Jacobi polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 28, Page 1455-1462, 2004., 2004 Let X represent either a space C[−1, 1] or Lα,βp(w), 1 ≤ p < ∞, of functions on [−1, 1]. It is well known that X are Banach spaces under the sup and the p‐norms, respectively. We prove that there exist the best possible normalized Banach subspaces Xα,βk of X such that the system of Jacobi polynomials is densely spread on these, or, in other words, each
Sarjoo Prasad Yadav
wiley +1 more source
Modulus of smoothness and theorems concerning approximation on compact groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 20, Page 1251-1260, 2003., 2003 We consider the generalized shift operator defined by (Shuf)(g) = ∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson‐type theorems.
H. Vaezi, S. F. Rzaev
wiley +1 more source
On certain Heun functions, associated functions of discrete variables, and applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 59, Page 3717-3751, 2003., 2003 Two sets of the Heun functions are introduced via integrals. Theorems about expanding functions with respect to these sets are proven. A number of integral and series representations as well as integral equations and asymptotic formulas are obtained for these functions.
P. Malits
wiley +1 more source
Integrability and L1‐convergence of Rees‐Stanojević sums with generalized semiconvex coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 645-650, 2002., 2002 Integrability and L1‐convergence of modified cosine sums introduced by Rees and Stanojević (1973) under a class of generalized semiconvex null coefficients are studied, using Cesaro means of integral order.
Kulwinder Kaur, S. S. Bhatia
wiley +1 more source
A Cohen type inequality for Laguerre-Sobolev expansions [PDF]
, 2009 10 pages, no figures.-- MSC2000 codes: 42C05, 42C10.MR#: MR2501934 (2010a:42093)Zbl#: Zbl 1160.42312Let introduce the Sobolev type inner product [see attached full-text file].
Marcellán, Francisco +2 more
core +1 more source
Strict positive definiteness on spheres via disk polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 715-724, 2002., 2002 We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q ≥ 3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier‐like expansion of the functions in terms of disk polynomials and, among other things, they enlarge the classes of strictly positive definite functions on real ...
V. A. Menegatto, A. P. Peron
wiley +1 more source
Hardy‐Littlewood type inequalities for Laguerre series
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 9, Page 533-540, 2002., 2002 Let {cj} be a null sequence of bounded variation. We give appreciate smoothness and growth conditions on {cj} to obtain the pointwise convergence as well as Lr‐convergence of Laguerre series ∑cj𝔏ja. Then, we prove a Hardy‐Littlewood type inequality ∫0∞|f(t)|rdt≤C∑j=0∞|cj|rj¯12−r/ for certain r ≤ 1, where f is the limit function of ∑cj𝔏ja.
Chin-Cheng Lin, Shu-Huey Lin
wiley +1 more source