DSpace collection: 第47卷第2期
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/108955
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LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109365
title: LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES abstract: In this note, we establish the estimate on the Lorentz space L(3/2,1)L(3/2,1) for vector fields in bounded domains under the assumption that the normal or the tangential component of the vector fields on the boundary vanishes. We prove that the L(3/2,1)L(3/2,1) norm of the vector field can be controlled by the norms of its divergence and curl in the atomic Hardy spaces and the L1L1 norm of the vector field itself.
<br>GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH EXTREMAL FUNCTIONS FOR DENJOY'S CONJECTURE AS COEFFICIENTS
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109364
title: GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH EXTREMAL FUNCTIONS FOR DENJOY'S CONJECTURE AS COEFFICIENTS abstract: The classical problem of finding conditions on the entire coefficients A(z)A(z) and B(z)B(z) guaranteeing that all nontrivial solutions of f′′+A(z)f′+B(z)f=0f″+A(z)f′+B(z)f=0 are of infinite order is discussed. Some such conditions which involve deficient value, Borel exceptional value and extremal functions for Denjoy's conjecture are obtained.
<br>INEQUALITIES FOR POWER SERIES WITH NONNEGATIVE COEFFICIENTS VIA A REVERSE OF JENSEN INEQUALITY
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109363
title: INEQUALITIES FOR POWER SERIES WITH NONNEGATIVE COEFFICIENTS VIA A REVERSE OF JENSEN INEQUALITY abstract: Some inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality obtained by Dragomir & Ionescu in 1994 are given. Applications for some fundamental functions defined by power series are also provided.
<br>ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109362
title: ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS abstract: The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci pseudo-parallel invariant submanifolds of Lorentzian para-Sasakian manifolds. Also we search for the conditions Z(X,Y)⋅α=fQ(g,α)Z(X,Y)⋅α=fQ(g,α) and Z(X,Y)⋅α=fQ(S,α)Z(X,Y)⋅α=fQ(S,α) on invariant submanifolds of Lorentzian para-Sasakian manifolds, where ZZ is the concircular curvature tensor. Finally, we construct an example of an invariant submanifold of Lorentzian para Sasakian manifold.
<br>UNIQUENESS OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS OF ENTIRE FUNCTIONS SHARING ONE VALUE
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109361
title: UNIQUENESS OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS OF ENTIRE FUNCTIONS SHARING ONE VALUE abstract: In this paper, we study the uniqueness of difference-differential polynomials of entire functions ff and gg sharing one value with counting multiplicity. In this paper we extend and generalize the results of X. Y. Zhang, J. F. Chen and W. C. Lin [17] L. Kai, L. Xin-ling and C. Ting-bin [7] and many others [2, 16].
<br>SECOND DEGREE GENERALIZED JACOBI ITERATION METHOD FOR SOLVING SYSTEM OF LINEAR EQUATIONS
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109360
title: SECOND DEGREE GENERALIZED JACOBI ITERATION METHOD FOR SOLVING SYSTEM OF LINEAR EQUATIONS abstract: In this paper, a Second degree generalized Jacobi Iteration method for solving system of linear equations, Ax=bAx=b and discuss about the optimal values a1a1 and b1b1 in terms of spectral radius about for the convergence of SDGJ method of x(n+1)=b1[D−1m(Lm+Um)x(n)+k1m]−a1x(n−1).x(n+1)=b1[Dm−1(Lm+Um)x(n)+k1m]−a1x(n−1). Few numerical examples are considered to show that the effective of the Second degree Generalized Jacobi Iteration method (SDGJ) in comparison with FDJ, FDGJ, SDJ.
<br>JOINS, CORONAS AND THEIR VERTEX-EDGE WIENER POLYNOMIALS
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109359
title: JOINS, CORONAS AND THEIR VERTEX-EDGE WIENER POLYNOMIALS abstract: The vertex-edge Wiener index of a simple connected graph GG is defined as the sum of distances between vertices and edges of GG. The vertex-edge Wiener polynomial of GG is a generating function whose first derivative is a q−q−analog of the vertex-edge Wiener index. Two possible distances D1(u,e|G)D1(u,e|G) and D2(u,e|G)D2(u,e|G) between a vertex uu and an edge ee of GG can be considered and corresponding to them, the first and second vertex-edge Wiener indices of GG, and the first and second vertex-edge Wiener polynomials of GG are introduced. In this paper, we study the behavior of these indices and polynomials under the join and corona product of graphs. Results are applied for some classes of graphs such as suspensions, bottlenecks, and thorny graphs.
<br>A USEFUL ORTHONORMAL BASIS ON BI-SLANT SUBMANIFOLDS OF ALMOST HERMITIAN MANIFOLDS
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109358
title: A USEFUL ORTHONORMAL BASIS ON BI-SLANT SUBMANIFOLDS OF ALMOST HERMITIAN MANIFOLDS abstract: In this paper, we study bi-slant submanifolds of an almost Hermitian manifold for different cases. We introduce a new orthonormal basis on bi-slant submanifold, semi-slant submanifold and hemi-slant submanifold of an almost Hermitian manifold to compute Chen's main inequalities. We investigate these inequalities for semi-slant submanifolds, hemi-slant submanifolds and slant submanifolds of a generalized complex space form. We obtain some characterizations on such submanifolds of a complex space form.
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