We perform Bell's measurement for the non-separable correlation between polarization and orbital angular momentum from the same classical vortex beam. The violation of Bell's inequality for such a non-separable classical correlation has been demonstrated experimentally. Based on the classical vortex beam and non-quantum entanglement between the polarization and the orbital angular momentum, the...

In this study, we introduce a new conformable derivative, namely the beta-conformable derivative. We derive Taylor?s theorem for also investigate some properties of and useful related theorems light operator, extend recent classical integral inequalities including Steffensen Hermite-Hadamard inequality.

Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Y a,c A,B; p, λ, α of the class A p . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given....

Hermite–Hadamard inequality is a double that provides an upper and lower bounds of the mean (integral) convex function over certain interval. Moreover, convexity can be characterized by each two sides this inequality. On other hand, it well known twice differentiable convex, if only admits nonnegative second-order derivative. In paper, we obtain characterization class functions (including funct...

In this paper, the definition of harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard inequalities Fejér for functions also established. addition, some numerical examples given to verify accuracy results.

Problems of finding an arbitrary point of convex feasible set (convex feasibility problem, CFP), stationary points of monotone mappings (convex optimization, variational inequalities) are quite common objects of investigation in theory and applications [1]. One of the unifying themes for algorithmic developments in these areas are Fejer processes [2] which serve as a convenient abstraction to s...

Abstract This article proposes two regularized iterative algorithms for solving variational inequality problems defined over a solution set of inclusion problem, known as hierarchical problems, in the setting Hadamard manifolds. Instead regularizing problem or an method it, we first regularize considered and then prove that converges to problem. Using such result, convergence sequences generate...

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples

in this paper, we deal with the subdierential concept onhadamard spaces. flat hadamard spaces are characterized, and nec-essary and sucient conditions are presented to prove that the subdif-ferential set in hadamard spaces is nonempty. proximal subdierentialin hadamard spaces is addressed and some basic properties are high-lighted. finally, a density theorem for subdierential set is establi...