Bergman and Bauer Operators for Elliptic Equations in Two Independent Variables

Recently, a new Ostrowski type inequality on time scales for k points was proved in [G. Xu, Z. B. Fang: A Generalization of Ostrowski type inequality on time scales with k points. Journal of Mathematical Inequalities (2017), 11(1):41-48]. In this article, we extend this result to the 2-dimensional case. Besides extension, our results also generalize the three main results of Meng and Feng in the paper [Generalized Ostrowski type inequalities for multiple points on time scales involving functions of two independent variables. Journal of Inequalities and Applications (2012), 2012:74]. In addition, we apply some of our theorems to the continuous, discrete, and quantum calculus to obtain more interesting results in this direction. We hope that results obtained in this paper would find their place in approximation and numerical analysis.

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A generalized graphical interpolation method for evaluating experimental dependences of two independent variables

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19652845 ◽

1965 ◽

Vol 30 (8) ◽

pp. 2845-2847 ◽

Cited By ~ 1

Author(s):

P. Kratochvíl ◽

P. Munk

Keyword(s):

Interpolation Method ◽

Independent Variables ◽

Two Independent Variables

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Explaining Peaceful Change in Central and Eastern Europe

The Oxford Handbook of Peaceful Change in International Relations ◽

10.1093/oxfordhb/9780190097356.013.44 ◽

2020 ◽

Author(s):

Alexander Tabachnik ◽

Benjamin Miller

Keyword(s):

Eastern Europe ◽

Central And Eastern Europe ◽

State Capacity ◽

The State ◽

National Identities ◽

Great Power ◽

Soviet System ◽

The Balkans ◽

Independent Variables ◽

Two Independent Variables

This chapter explains the process of peaceful change in Central and Eastern Europe following the demise of the Soviet system. It also explains the failure of peaceful change in the Balkans and some post-Soviet countries, such as the Ukrainian conflict in 2014. The chapter accounts for the conditions for peaceful change and for the variation between peaceful and violent change by the state-to-nation theory. The two independent variables suggested by the theory are the level of state capacity and congruence—namely the compatibility between state borders and the national identities of the countries at stake. Moreover, according to the theory, great-power engagement serves as an intervening variable and in some conditions, as explained in the chapter, may help with peaceful change.

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