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These classical inequalities have been improved and generalized in a number of ways and applied for special means including Stolarsky type, logarithmic, and -logarithmic means.
For example, several well known observer design methods, as the High-Gain and the Lipschitz Observers, can be treated and generalized in a unified manner by the Dissipative Approach.
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The model was based on a theory for the control of movement direction and amplitude in point-to-point reaching movements, which is consistent with neurophysiological observations [26], [27] and generalizes in a straightforward manner to different forms of interception [16], [23], [24], [28].
The important generalization of variational inequalities, called variational inclusions, have been extensively studied and generalized in different directions to study a wide class of problems arising in mechanics, optimization, nonlinear programming, economics, finance and applied sciences, and so forth; see, for example [1 7] and references theirin.
Thereafter it has been proved and generalized in various ways by many authors.
The Fibonacci and the Lucas sequence have been studied extensively and generalized in many ways.
Variational inequalities have been extended and generalized in several directions using novel and new techniques.
The ideas proposed in these works were developed and generalized in numerous other publications [5].
The traditional Banach contraction principle has been extended and generalized in wide directions.
Some of these results are restated and generalized in the Methods section.
It does not require a special form of scoring rule and can be generalized in a more broad auction formats.
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