Bilateral inequalities for means
Abstract Let \((M1,M2,M3)\) be three means in two variables chosen from \(H,G,L,I,A,Q,S,C\) so that \(M_{1}(a,b)<M_{2}(a,b)<M_{3}(a,b),0<a<b\). We consider the problem of…
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Bilateral inequalities for harmonic, geometric and Hölder means
Abstract For \(0<a<b\), the harmonic, geometric and Holder means satisfy \newline\( H<G<Q\). They are special cases \((p=-1,0,2)\) of power means…
Corrected Newtonian potentials in the two-body problem with applications
Abstract The paper deals with an analytical study of various corrected Newtonian potentials. We offer a complete description of the…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)
Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…
Controlling numerical diffusion in solving advection-dominated transport problems
Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…
A Stancu type extension of the Cheney-Sharma Chlodovsky operators
Abstract In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented…
A Mutual Control Problem for Semilinear Systems via Fixed Point Approach
Abstract In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a…
Localization of energies in Navier–Stokes models with reaction terms
Abstract We analyze a general class of coupled systems of stationary Navier-Stokes type equations with variable coefficients and non-homogeneous terms…
Vector fixed point approach to control of Kolmogorov differential systems
Abstract The paper presents a vector approach to control problems for systems of equations. The method is described in the…
Optimal approximation of unique continuation
Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…