Yazar "Gungor, Nihan" için listeleme
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Continuity of Superposition Operators on the Double Sequence Spaces L-p
Sagir, Birsen; Gungor, Nihan (Univ Nis, Fac Sci Math, 2015)In this paper, we define the superposition operator P-g where g : N-2 x R -> R by P-g ((x(ks))) = 1 (k, s, x(ks)) for all real double sequence (x(ks)). Chew & Lee [4] and Petranuarat & Kemprasit [7] have characterized P-g ... -
Continuity of Superposition Operators on the Double Sequence Spaces of Maddox L(p)
Gungor, Nihan; Sagir, Birsen (Springer International Publishing Ag, 2017)Petranuarat and Kemprasit (Southeast Asian Bull Math 21: 139-147, 1997) characterized continuity of the superposition operator acting from the sequence space l(p) into l(q) where 1 <= p, q < infinity. Sagir and Gungor ... -
LOCALLY BOUNDEDNESS AND CONTINUITY OF SUPERPOSITION OPERATORS ON DOUBLE SEQUENCE SPACES C-r0
Sagir, Birsen; Gungor, Nihan (Eudoxus Press, Llc, 2015)Let R be set of all real numbers, N be the set of all natural numbers and N-2 = N x N. In this paper, we define the superposition operator P-g where g : N-2 x R -> R by P-g ((x(ks))) = g (k, s, x(ks)) for all real double ... -
A note on linear non-Newtonian Volterra integral equations
Gungor, Nihan (Springer Heidelberg, 2021)In this study, the Volterra integral equations are defined in the non-Newtonian calculus with the aid of *-integral. The focus of this study is obtaining the solution of linear non-Newtonian integral equations. The *-resolvent ... -
A note on weighted Sobolev algebras L-omega(1)(R-d) boolean AND W-k(p)(R-d)
Gungor, Nihan; Sagir, Birsen (Ramanujan Mathematical Soc, 2015)Let 1 <= p < infinity and omega be Beurling's weight function on R-d. In this article, we demonstrate some harmonic properties of Sobolev space W-k(p)(R-d) which consists of all functions on R-d whose weak derivatives up ... -
SOME ASPECTS OF L-v(q) (R-d) boolean AND W-k(p,w) (R-d)
Gungor, Nihan; Sagir, Birsen (Univ Miskolc Inst Math, 2015)Let 1 <= q; p < infinity and v,w be Beurling's weight functions on R-d. In this article we deal with harmonic properties of intersection space A(k,v,w)(q,p) (R-d) = L-v(q) (R-d) boolean AND W-k(p,w) (R-d) defined by aid ... -
SOME GEOMETRIC PROPERTIES OF THE NON-NEWTONIAN SEQUENCE SPACES l(p)(N)
Gungor, Nihan (Walter De Gruyter Gmbh, 2020)In this paper, we generalize the concepts of convexity, strict convexity and uniform convexity in the sense of non-Newtonian calculus. The main aim of this study is to obtain the non-Newtonian convexity, non-Newtonian ...
