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ADER schemes are recent finite volume methods for hyperbolic conservation laws, which can be viewed as generalizations of the classical first order Godunov method to arbitrary high orders.
This method for frame design was used by [Engan et al., Signal Processing 80 (2000) 2121 2140] for block-oriented signal expansions, i.e. generalizations of block-oriented transforms and by [Aase et al., IEEE Trans. Signal Process. 49 5) (2001) 1087 1096] for non-block-oriented frames for short overlapping frames, that may be viewed as generalizations of critically sampled filter banks.
Our results can be viewed as generalizations of Kantorovich and Grüss inequalities.
These transformations can be viewed as generalizations of some of those obtained recently by Wei et al. [14].
Since in [3] (D2.b) is no longer used, modified Halpern iterations can be viewed as generalizations of Halpern iterations.
These transformations can be viewed as generalizations of some of those obtained recently by Wei et al. (Adv. Differ. Equ. 2013 360, 2013).
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These inequalities can be viewed as generalization of several previously known results.
These inequalities can be viewed as generalization of the results of [37, 38].
The "energy" storage function of a dissipative system which can be viewed as generalization of energy function is often used to be a Lyapunov function, and thus the stability of a dissipative system can be investigated.
Therefore, the results obtained in this paper can be viewed as natural generalizations and refinements of the results in [29].
Therefore, the results obtained in this paper can be viewed as natural generalizations and refinements of the results in [18, 19].
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