Extracta Mathematicae Vol. 34, nº 2 (2019)http://hdl.handle.net/10662/101162020-10-25T11:08:29Z2020-10-25T11:08:29ZFractional Ostrowski type inequalities for functions whose derivatives are s-preinvexMeftah, B.Merad, M.Souahi, A.http://hdl.handle.net/10662/103282020-02-13T13:02:42Z2019-01-01T00:00:00ZFractional Ostrowski type inequalities for functions whose derivatives are s-preinvex
Meftah, B.; Merad, M.; Souahi, A.
In this paper, we establish a new integral identity, and then we derive some new fractional Ostrowski type inequalities for functions whose derivatives are s-preinvex
2019-01-01T00:00:00Zɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½Laraiedh, Ismailhttp://hdl.handle.net/10662/103272020-02-13T12:58:16Z2019-01-01T00:00:00Zɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½
Laraiedh, Ismail
Over the (1|2)-dimensional real superspace, we study ɑʄʄ(1|1)-trivial deformations of the action of the affine Lie superalgebra ɑʄʄ (2|1) on the direct sum of the superspaces of weighted densities. We compute the necessary and sufficient integrability conditions of a given infinitesimal deformation of this action and we prove that any formal deformation is equivalent to its infinitisemal part.
2019-01-01T00:00:00ZRicci solitons on para-Kähler manifoldsYadav, Sunil Kumarhttp://hdl.handle.net/10662/103262020-02-13T12:53:53Z2019-01-01T00:00:00ZRicci solitons on para-Kähler manifolds
Yadav, Sunil Kumar
The main purpose of the paper is to study the nature of Ricci soliton on para-Kähler manifolds satisfying some certain curvature conditions. In particular, if we consider certain pseudosymmetric and parallel symmetric tensor on para-Kähler manifolds we prove that V is solenoidal if and only if it is shrinking or steady or expanding depending upon the sign of scalar curvature for dimension M > 4, where (g; V; λ) be a Ricci soliton in a paraholomorphic projectively, pseudosymmetric para-Kähler manifolds. Moreover, we obtain some results related to the quasi-conformal curvature tensor on such manifolds.
2019-01-01T00:00:00ZThe μ-topological Hausdoff dimensionLotfi, Helahttp://hdl.handle.net/10662/103252020-05-13T13:35:16Z2019-01-01T00:00:00ZThe μ-topological Hausdoff dimension
Lotfi, Hela
In 2015, R. Balkaa, Z. Buczolich and M. Elekes introduced the topological Hausdoff dimension which is a combination of the definitions of the topological dimension and the Hausdorff dimension. In our manuscript, we propose to generalize the topological Hausdorff dimension by combining the definitions of the topological dimension and the μ-Hausdorff dimension and we call it the μ-topological Hausdorff dimension. We will present upper and lower bounds for the μ-topological Hausdorff dimension of the Sierpinski carpet valid in a general framework. As an application, we give a large class of measures μ, where the μ-topological Hausdorff dimension of the Sierpinski carpet coincides with the lower and upper bounds.
2019-01-01T00:00:00Z