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Перегляд Український математичний журнал, 2012, том 64 за назвою

Репозиторій DSpace/Manakin

Перегляд Український математичний журнал, 2012, том 64 за назвою

Сортувати за: Порядок: Результатів:

  • Mикола Іванович Шкіль (до 80-річчя від дня народження) 
    Королюк, В.С.; Луковський, І.О.; Перестюк, М.О.; Працьовитий, М.В.; Самойленко, А.М.; Яковець, В.П. (Український математичний журнал, 2012)
    13 грудня 2012 року виповнилось 80 років академіку Національної академії педагогічних наук України, доктору фізико-математичних наук, професору Миколі Івановичу Шкілю.
  • On Agarwal–Pang-type integral inequalities 
    Zhao, C.J.; Bencze, M. (Український математичний журнал, 2012)
    We establish some new Agarwal–Pang-type inequalities including second-order partial derivatives. In special cases, our results yield some correlated results and provide new estimates for the inequalities of this type.
  • On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents 
    Nyamoradi, N. (Український математичний журнал, 2012)
    We consider a quasilinear elliptic system involving the critical Hardy–Sobolev exponent and the Sobolev exponent. We use variational methods and analytic techniques to establish the existence of positive solutions of the system.
  • On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis 
    Sekatskii, S.K.; Beltraminelli, S.; Merlini, D. (Український математичний журнал, 2012)
    By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann ...
  • On impulsive Sturm–Liouville operators with singularity and spectral parameter in boundary conditions 
    Amirov, R.Kh.; Guldu, Y.; Topsakal, N. (Український математичний журнал, 2012)
    We study properties and the asymptotic behavior of spectral characteristics for a class of singular Sturm–Liouville differential operators with discontinuity conditions and an eigenparameter in boundary conditions. We also ...
  • On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment 
    Skorokhodov, D.S. (Український математичний журнал, 2012)
    We study the following modification of the Landau–Kolmogorov problem: Let k; r ∈ ℕ, 1 ≤ k ≤ r − 1, and p, q, s ∈ [1,∞]. Also let MM^m, m ∈ ℕ; be the class of nonnegative functions defined on the segment [0, 1] whose ...
  • On properties of n-totally projective Abelian p-groups 
    Danchev, P.; Keef, P. (Український математичний журнал, 2012)
    We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total ...
  • On split metacyclic groups 
    He-guo Liu; Yan Yang (Український математичний журнал, 2012)
    We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and |K| = exp G.
  • On the complexity of the ideal of absolute null sets 
    Zakrzewski, P. (Український математичний журнал, 2012)
    Answering a question posed by Banakh and Lyaskovska, we prove that, for an arbitrary countable infinite amenable group G, the ideal of sets having μ-measure zero for every Banach measure μ on G is an Fσδ subset of {0; 1}G.
  • On the Gauss sums and generalized Bernoulli numbers 
    Gao, J.; Liu, H. (Український математичний журнал, 2012)
    Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.
  • On the generalized convolution for Fc, Fs, and K–L integral transforms 
    Virchenko, N.O.; Thao, N.X. (Український математичний журнал, 2012)
    We study new generalized convolutions with weight function for the Fourier cosine, Fourier sine, and Kontorovich – Lebedev integral transforms in weighted function spaces with two parameters. These generalized convolutions ...
  • On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles 
    Abdullayev, F.G.; Özkartepe, N.P. (Український математичний журнал, 2012)
    Let ℂ be the complex plane, let C¯=C∪{∞}, let G ⊂ ℂ be a finite Jordan domain with 0 ∈ G; let L := ∂G; let Ω := C¯∖G¯, and let w = φ(z) be a conformal mapping of G onto a disk B(0, ρ₀) := {w:|w|<ρ₀} normalized by the ...
  • On the summability of double Walsh–fourier series of functions of bounded generalized variation 
    Goginava, U. (Український математичний журнал, 2012)
    The problem of convergence of the Cesàro means of negative order for double Walsh–Fourier series of functions of bounded generalized variation is investigated.
  • On transformation formulas for theta hypergeometric functions 
    Denis, R.Y.; Singh, S.N.; Singh, S.P. (Український математичний журнал, 2012)
    Using an identity and certain summation formulas for truncated theta hypergeometric series, we establish transformation formulas for finite bilateral theta hypergeometric series.
  • Quasi-unit regularity and QB-rings 
    Jianghua Li; Xiaoqing Sun; Xiaoqin Shen; Shangping Wang (Український математичний журнал, 2012)
    Some relations for quasiunit regular rings and QB-rings, as well as for pseudounit regular rings and QB ∞-rings, are obtained. In the first part of the paper, we prove that (an exchange ring R is a QB-ring) ⟺ (whenever x ...
  • Recognition of the groups L₅(4) and U₄(4) by the prime graph 
    Nosratpour, P.; Darafsheh, M.R. (Український математичний журнал, 2012)
    Let G be a finite group. The prime graph of G is the graph Γ(G) whose set of vertices is the set Π(G) of all prime divisors of the order |G| and two different vertices p and q of which are connected by an edge if G has an ...
  • S¹-Bott functions on manifolds 
    Repovš, D.; Sharko, V. (Український математичний журнал, 2012)
    We study S¹-Bott functions on compact smooth manifolds. In particular, we investigate S¹-invariant Bott functions on manifolds with circle action.
  • Shape-preserving projections in low-dimensional settings and the q-monotone case 
    Prophet, M.P.; Shevchuk, I.A. (Український математичний журнал, 2012)
    Let P:X → V be a projection from a real Banach space X onto a subspace V and let S ⊂ X. In this setting, one can ask if S is left invariant under P, i.e., if PS ⊂ S. If V is finite-dimensional and S is a cone with particular ...
  • SΦ-supplemented subgroups of finite groups 
    Xianhua Li; Tao Zhao (Український математичний журнал, 2012)
    We call H an SΦ-supplemented subgroup of a finite group G if there exists a subnormal subgroup T of G such that G = HT and H ∩ T ≤ Φ(H), where Φ(H) is the Frattini subgroup of H. In this paper, we characterize the p-nilpotency ...
  • The block-by-block method with Romberg quadrature for the solution of nonlinear volterra integral equations on large intervals 
    Katani, R.; Shahmorad, S. (Український математичний журнал, 2012)
    We investigate the numerical solutions of nonlinear Volterra integral equations by the block-by-block method especially useful for the solution of integral equations on large-size intervals. A convergence theorem is proved ...

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