For two-dimensional manifold $M$ with locally symmetric connection $∇$ and with $∇-parallel$ volume element vol one can construct a flat connection on the vector bundle $TM ⊕ E$, where $E$ is a trivial bundle. The ...

We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.

The aim of this paper is to study the superstability problem of the d’Alembert type functional equation \[f(x + y + z) + f(x + y + σ(z)) + f(x + σ(y) + z) + f(σ(x) + y + z)\] \[= 4f(x)f(y)f(z)\] for all $x, y, z ∈ G$, ...

The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We ...

In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the ...

For an arbitrary triangle $ABC$ and an integer $n$ we define points $D_n$, $E_n$, $F_n$ on the sides $BC$, $CA$, $AB$ respectively, in such a manner that \[\frac{|AC|^n}{{|AB|}^n} = \frac{|CD_n|}{|BD_n|}, \frac{|AB|^ ...

In this paper we define strong ideals and horizontal ideals in pseudo-BCH-algebras and investigate the properties and characterizations of them

In this paper, we study the superstablity problem of the cosine and sine type functional equations: $f(xσ(y)a) + f(xya) = 2f(x)f(y)$ and $f(xσ(y)a) − f(xya) = 2f(x)f(y)$, where $f : S → C$ is a complex valued function; ...

A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral $∫_a^b f(t) du(t)$, where $f$ is assumed to be of $r-H-Hölder$ type on $[a, b]$ and $u$ is of bounded variation on $[a, b]$, is proved. ...