Sentence examples for inequalities 1 from inspiring English sources

Inequalities (1) and (2) are important in mathematical analysis and its applications (cf. [2 4]).

(i) With the assumptions of Theorem 2.2 the inequalities (1) and (2) are in fact equivalent.

Inequalities (1) and (2) are important in analysis and its applications.

Inequalities (1) and (2) are important in the analysis and partial differential equations [1, 2].

for x > 1 2. By using the fairly obvious inequalities 1 − exp ( − t 2 ) ≤ t (44).

Let (pin WL), (p^ >1), and the inequalities (1) be fulfilled.

This paper is devoted to the study of Lp Lyapunov-type inequalities (1⩽p⩽+∞) for linear partial differential equations.

Inequalities (1 - 3) are important in mathematical analysis and its applications [3].

Inequalities (1 - 3) are important in analysis and its applications [4].

(3) Inequalities (1 - 3) are important in analysis and applications (cf. [2, 4 9]).

(3) Inequalities (1 - 3) are important in analysis and its applications (cf. [1 5]).