2016, Studia Mathematica 15
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On the superstability of the cosine and sine type functional equations
(2016)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; ... -
New method to solve certain differential equations
(2016)A new method to solve stationary one-dimensional Schroedinger equation is investigated. Solutions are described by means of representation of circles with multiple winding number. The results are demonstrated using the ... -
Properties of two variables Toeplitz type operators
(2016)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 ... -
Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
(2016)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 ... -
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
(2016)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. ... -
Several observations about Maneeals - a peculiar system of lines
(2016)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|^ ... -
Affine analogues of the Sasaki-Shchepetilov connection
(2016)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 ... -
An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
(2016)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. -
Strong ideals and horizontal ideals in pseudo-BCH-algebras
(2016)In this paper we define strong ideals and horizontal ideals in pseudo-BCH-algebras and investigate the properties and characterizations of them -
On the superstability of generalized d’Alembert harmonic functions
(2016)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 $x, y, z ∈ G$, ... -
Annales Universitatis Paedagogicae Cracoviensis. 182. Studia Mathematica 15
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2016)
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