Results 51 to 60 of about 531,318 (268)
The General Minkowski Inequality for Mixed Volume
Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry.
Yusha Lv
doaj +1 more source
A reversed Poincaré inequality for monotone functions
Using a result of \textit{G. Talenti} [Ann. Mat. Pura Appl., IV. Ser. 110, 353-372 (1976; Zbl 0353.46018)] according to which the boundary value problem: \[ -{{d}\over{dx}}\left(\left |{{du}\over{dx}}\right |^{n-2}{{du}\over{dx}}\right) =\lambda |u|^{m-2}u, \;u'(0)=u(1)=0, \;u(0)=b>0, \;n>1,\;m\geq 1, \] has a unique positive solution if and only if \[
Benguria Donoso, Rafael +1 more
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a(x)-monotonic functions and their inequalities [PDF]
In this paper a(x)-monotonic functions are defined and some inequalities for them are derived. Related analogous of the Lagrange and the Cauchy mean value theorems are also derived and means of the Cauchy type are generated. Furthermore, it is shown that the monotonicity of the Stolarsky means can be proved using the notion of generalized monotonic ...
Smoljak Kalamir, Ksenija +1 more
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Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
Background: Recent research suggests that Japanese inter-prefecture inequality in the risk of death before reaching 5 years old has increased since the 2000s.
Mariko Kanamori +2 more
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Abstract Crop insurance is undoubtedly an extremely valuable element in protecting agricultural businesses, but in many cases standard indemnity‐based products have had very low uptake due to high transaction costs elevating premiums to unaffordable levels.
Amogh Prakasha Kumar +2 more
wiley +1 more source
Application of Quasisubordination to Certain Classes of Meromorphic Functions
Inequalities play a fundamental role in many branches of mathematics and particularly in real analysis. By using inequalities, we can find extrema, point of inflection, and monotonic behavior of real functions.
Syed Ghoos Ali Shah +4 more
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Housing as Asset‐Based Welfare in Australia: An Investigation Through a Consumption Lens
ABSTRACT Housing asset‐based welfare has long been a key component of Australia's social policy. This resonates with a parallel literature identifying a trade‐off between homeownership and the size of nations' welfare states, wherein owner‐occupiers in smaller welfare states tend to come to rely on housing wealth to meet many of their welfare needs ...
Gavin A. Wood +3 more
wiley +1 more source
Some New Dynamic Inequalities Involving Monotonic Functions on Time Scales
In this paper, we prove some new dynamic inequalities involving C- monotonic functions on time scales. The main results will be proved by employing Hölder’s inequality, integration by parts, and a chain rule on time scales.
S. H. Saker, E. Awwad, A. Saied
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ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou +4 more
wiley +1 more source

