Yazar "Guller, Ozge Ozalp" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • Küçük Resim Yok
    Öğe
    ON CERTAIN MULTIDIMENSIONAL NONLINEAR INTEGRALS
    (Ankara Univ, Fac Sci, 2020) Guller, Ozge Ozalp; Uysal, Gumrah
    The aim of the paper is to obtain generalized convergence results for nonlinear multidimensional integrals of the form: L-eta(omega; x) = eta(n)/Omega(n-1) integral(D) K(eta vertical bar t - x vertical bar, omega(t))dt. We will prove some theorems concerning pointwise convergence of the family L-eta(omega; x) as eta -> infinity at a fixed point x is an element of D which represents any generalized Lebesgue point of the function omega is an element of L-1 (D); where D is an open bounded subset of R-n, Moreover, we will consider the case D = R-n.
  • Küçük Resim Yok
    Öğe
    ON SINGULAR INTEGRAL OPERATORS INVOLVING POWER NONLINEARITY
    (Kangwon-Kyungki Mathematical Soc, 2017) Almali, Sevgi Esen; Uysal, Gumrah; Mishra, Vishnu Narayan; Guller, Ozge Ozalp
    In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power non linearity given in the following form: T-lambda(f;x) = integral(b)(a) Sigma(n)(m=1) f(m)(t)K-lambda,K-m(x,t)dt, lambda epsilon Lambda, x epsilon (a, b), where A is an index set consisting of the non-negative real numbers, and n >= 1 is a finite natural number, at mu-generalized Lebesgue points of integrable function f epsilon L-1 (a, b). Here, f(m) denotes m - th power of the function f and (a, b) stands for arbitrary bounded interval in or I itself. We also handled the indicated problem under the assumption f epsilon L-1 (N)