Nesip Aktan

On the generalization of some integral inequalities and their applications

Abstract In this paper, a general integral identity for convex functions is derived. Then, we establish some new inequalities of the Simpson and the Hermite–Hadamard type for functions whose absolute values of derivatives are convex. Some applications for special means of real numbers are also provided.

Nabla 1-Forms on n-Dimensional Time Scales

In this paper, nabla 1 forms for multivariable functions on n dimensional time scale is presented.

Some curvature properties of globally framed almost f-cosymplectic manifolds

The purpose of this paper is to study fundamental curvature properties for globally framed almost f-cosymplectic manifolds.

An introduction to globally framed almost f-cosymplectic manifolds

The purpose of this paper is to define a new class of framed manifolds. We give an explicit example of globally framed almost f-cosymplectic manifolds.

On some types of almost cosymplectic manifolds

The object of the present paper is to study almost cosymplectic (κ, μ)-spaces satisfying some curvature conditions.

On a new type of (κ, μ)-contact metric manifolds

In the present paper we introduce cyclic-parallel τ-curvature tensor on (κ, μ)-contact metric manifolds. We investigate some curvature properties of these type manifolds and we obtain that these type of manifolds have cyclic-parallel Ricci tensor under some conditions. Furthermore, we get these type of manifolds are K-contact under some special cases and we obtain that M is locally isometric to the product En+1 × Sn (4) under some algebraic conditions.

ALMOST α-COSYMPLECTIC ƒ-MANIFOLDS

Abstract The purpose of this paper is to study a new class of framed manifolds. Such manifolds are called almost α-cosymplectic ƒ-manifolds. For some special cases of α and s, one obtains (almost) α-cosymp(lectic, (almost) C-manifolds, and (almost) Kenmotsu ƒ-manifolds. Moreover, several tensor conditions are studied. We conclude our results with a general example on α-cosymplectic ƒ-manifolds.