In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.
In this article, we first investigate Ricci-pseudosymmetric generalized quasi-Einstein manifolds. Next we study pseudo projectively at generalized quasi Einstein manifolds and pseudo projective Ricci-symmetric generalized quasi Einstein manifolds.
In this In this paper, we aim to obtain several approximation properties of Szasz-Mirakjan-Baskakov operators with shape parameter lambda in [-1,1]. We reach some preliminary results such as moments and central moments. Next, we estimate the order of convergence with respect to the usual modulus of continuity, for the functions belong to Lipschitz-type class and Peetre's K-functional, respectively. Also, we prove a result concerning the weighted approximation for these operators. Finally, we give the comparison of the convergence of these newly defined operators to certain functions with some graphics.
Affictions, or predispositions to have particular disorders in an animal are often caused by speci c genes. However, some of these conditions could be avoided using genetic alterations during he breeding process. A good example is brachycephaly in dogs, which, in many cases, causes dyspnoea. In this research paper, we focused on using Finite Deterministic Automata for pattern ecognition in dog genes in order to improve the breathing problems of French bulldogs, and other brachycephalic breeds.
"The object of the present paper is to introduce a new transformation of almost contact metric manifolds. Firstly, starting from a Sasakian manifold we construct another Sasakian manifold and we prove some geometric properties. Secondly, we study Ricci solitons in Sasakian manifolds under this deformation. Concrete examples are given."
"In the present paper, we study three-dimensional quasi-Sasakian manifolds admitting the Schouten-van Kampen connection. We characterize quasi-Sasakian manifolds and nd certain curvature properties with respect to the Schouten-van Kampen connection. Finally, we construct an example of a three-dimensional quasi-Sasakian manifold admitting the Schouten-van Kampen connection which veri es the results discussed in the present paper."
With the use of post-quantum or (p; q)-calculus, in this paper we define a new class S0H (n; p; q; ) of certain harmonic functions f 2 S0H associated with a (p; q)-Ruscheweyh operator Rn p;q: or functions in this class, we obtain a necessary and sufficient convolution condition. A sufcient coeffcient inequality is given for functions f 2 S0H (n; p; q; ). It is proved that this coeffcient uality necessary for functions in its subclass TS0H (n; p; q; ): Certain properties such as convexity, compactness and results on bounds, extreme points are also derived for functions in the subclass H(n; p; q; ).
In the current work, we discuss certain stirring results of coe cient estimates of a uni ed class which is bridge between bi-starlike and bi-convex functions related to shell-like curves by means of subordination. Further, appropriate connections are discussed.
In this paper, we studied the tangent bundle endowed with semi-symmetric metric connection obtained by vertical and complete lifts of a semi-symmetric metric P-connection on the base manifold. Firstly, we give a relationships between (TM; gc) and (M; g) to be an Einstein manifolds. Secondly, we investigate necessary and su cient conditions for (TM; gc) with complete and vertical lift of torqued potential elds to be Ricci soliton.
Using a generalized Jacobi translation, we obtain a generalization of the theorem 84 of Titchmarsh for the Jacobi transform satisfying the Jacobi-Lipschitz and Dini Lipschitz conditions in the space Lp(R+; (t)dt), where 1 < p<= 2.
In the present paper, we have studied generalized weakly symmetric and generalized weakly Ricci symmetric D-homothetically deformed N(k)-contact metric manifolds. Also we have studied Ricci solitons on deformed N(k)-contact metric manifold and obtained several results if the manifold has generalized weakly symmetric and generalized weakly Ricci symmetric restrictions. We have also proved that there does not exist a Ricci soliton in a D-homothetically deformed N(k )-contact metric manifold. Finally, we give an example.
The object of this paper is to study N(k)-quasi Einstein manifolds. W*-Ricci pseudosymmetric, W2-pseudosymmetric and Z-generalized pseudosymmetric N(k)-quasi Einstein manifolds are considered. Finally, we construct examples to prove the existence of such manifolds.
The purpose of this paper is to study η-Ricci solitons on 3-dimensional Kenmotsu manifolds. First, we prove that an η-Ricci soliton on a 3-dimensional Kenmotsu manifold is an η-Einstein manifold. Besides these, we consider η-Ricci solitons on 3 -dimensional Kenmotsu manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Next, we study conformally at and φ-Ricci symmetric η-Ricci soliton on 3-dimensional Kenmotsu manifolds. Finally, we construct an example to prove the existence of η-Ricci soliton on 3-dimensional Kenmotsu manifold and verify some results.
In the paper we present two incomplete Gaussian hypergeometric formulas in summation form by specific known formulas.We also developed each of these formulas and how they use to derive double series identities in general forms.
In this paper we investigate generalized (k; μ)-paracontact metric manifolds satisfying the curvature conditions R · P = 0 and P · S = 0, where R, P and S are the Riemannian curvature tensor, the projective curvature tensor and the Ricci tensor, respectively. Next, we study ξ-projectively at generalized (k; μ)-paracontact metric manifolds. Further, we study generalized (k; μ)-paracontact metric manifolds satisfying the curvature condition P(X; Y) · Φ = 0. Finally, we have cited an example of a generalized (k; μ)-paracontact metric manifold.
In the present paper, we define Lorentzian para-Kenmotsu manifolds and study Ricci-pseudosymmetric, Ricci-generalized pseudosymmetric and symmetric conditions to characterize Lorentzian para-Kenmotsu manifolds. Next, we study Lorentzian para-Kenmotsu manifolds satisfying the curvature condition S • R = 0. Moreover, we study Ricci solitons on Lorentzian para-Kenmotsu manifolds. Finally, we give an example of a 5-dimensional Lorentzian para-Kenmotsu manifold to verify some results of the paper.
In this paper, we investigate the growth of meromorphic solutions of nonhomogeneous linear difference equation A_n(z)f(z + c_n) + · · · + A_1(z)f(z + c_1) + A_0(z)f(z) = A_{n+1}(z), where A_{n+1 (z), · · · , A0 (z) are (entire) or meromorphic functions and c_j (1, · · · , n) are non-zero distinct complex numbers. Under some conditions on the (lower) order and the (lower) type of the coefficients, we obtain estimates on the lower bound of the order of meromorphic solutions of the above equation. We extend early results due to Luo and Zheng.
Theoretically, the step-size plays a crucial role in the complexity analysis of primal-dual interior-point algorithms. In this paper, we would like to focus on the strategy of how to select the step-size. We propose three choices applied to P*(κ)-Linear complementarity problem based on two new kernel functions. The numerical behavior of the primal-dual interior-point algorithm is shown to be improved with these step-size choices. We have signi cantly reduced the number of the inner iterations and the calculation time of the large-update algorithm.
In 2007, Bicheng Yang [3] presented a new Hardy-type integral inequality with a best constant factor. The aim of this work is to give a direct generalization of these inequalities obtained with negative parameter p < 0.
The object of the present paper is to characterize LP-Sasakian manifolds satisfying Ricci pseudosymmetry and Ricci generalized pseudosymmetry. Beside this we prove that if R(X; ξ): P = P(X; ξ): R holds, where R and P denote the curvature tensor and projective curvature tensor respectively, then the manifold becomes an Einstein manifold. Then we prove that divR = 0 and divC = 0 are equivalent if the scalar curvature is invariant under the characteristic vector field ξ, where 'div' denotes divergence. Finally, we characterize 3-dimensional LP-Sasakian manifolds admitting Yamabe solitons and prove that the scalar curvature is constant and the potential vector field V is Killing.
