Let B(H) be the algebra of all bounded linear operators on a Hilbert space H and let N(⋅) norm B(H). For every 0≤ν≤1, we introduce w(N,ν)(A) as an extension classical numerical radius byw(N,ν)(A):=supθ∈R⁡N(νeiθA+(1−ν)e−iθA⁎) investigate basic properties this notion prove inequalities involving it. In particular, when is Hilbert–Schmidt ‖⋅‖2, present several weighted for operator matrices. Furth...

A medium baseline search for ν µ → ν e oscillations at a ν beam from muon decays Abstract The accurate knowledge of the ¯ ν e (ν µ) beam produced in µ − decays and the absence of ν e (¯ ν µ) contamination, make a future muon storage ring the ideal place to look for ν µ → ν e (¯ ν µ → ¯ ν e) oscillations. Using a detector capable of electron and muon identification with charge discrimination (e....

If the matrix C f is a full rank matrix, and no noise is involved in the imaging process, the simplest approach to deconvolve y is to invert C f and define x = C −1 f y. Or in the frequency domain, X(ν,ω) = Y (ν,ω)/F(ν,ω) This, however, is very rarely stable enough. For example, the inverse is not defined in frequencies (ν,ω) for which F(ν,ω) = 0. Even in case |F(ν,ω)| is not exactly 0 but smal...

and Applied Analysis 3 Definition 2.1. One defines t : Γ t 1 /Γ t 1 − ν , for any t and ν for which the right-hand side is defined. One also appeals to the convention that if t 1 − ν is a pole of the Gamma function and t 1 is not a pole, then t 0. Definition 2.2. The νth fractional sum of a function f , for ν > 0, is defined by Δ−νf t;a : 1 Γ ν t−ν ∑ s a t − s − 1 ν−1f s , 2.1 for t ∈ {a ν, a ν...

If the matrix C f is a full rank matrix, and no noise is involved in the imaging process, the simplest approach to deconvolve y is to invert C f and define x = C −1 f y. Or in the frequency domain, X(ν,ω) = Y (ν,ω)/F(ν,ω) This, however, is very rarely stable enough. For example, the inverse is not defined in frequencies (ν,ω) for which F(ν,ω) = 0. Even in case |F(ν,ω)| is not exactly 0 but smal...

An important tool to quantify the likeness of two probability measures are f–divergences, which have seen widespread application in statistics and information theory. An example is the total variation, which plays an exceptional role among the f–divergences. It is shown that every f– divergence is bounded from below by a monotonous function of the total variation. Under appropriate regularity c...

The paper " Big Bang Nucleosynthesis and Active-Sterile Neutrino Mixing: Evidence for Maximal ν µ ↔ ν τ Mixing in Super Kamiokande? " by X. Shi and G. M. Fuller (astro-ph/9810075) discusses the cosmological implications of the ν µ → ν s solution to the atmospheric neutrino anomaly. It incorrectly concludes that a lower bound on the ν τ mass of 15 eV is needed in order for the ν µ → ν s oscillat...

We present a complete study of R-parity violating supersymmetric effects in eleven exclusive semi-leptonic b → (s, d)ν ¯ ν decays, including B + u → K (*)+ ν ¯ ν, B 0 d → K (*)0 ν ¯ ν, B 0 s → φν ¯ ν, B 0 d → π 0 (ρ 0)ν ¯ ν, B + u → π + (ρ +)ν ¯ ν and B 0 s → K (*)0 ν ¯ ν decay modes, and we find those eleven modes are very sensitive to the constrained R-parity violating couplings. We derive st...

The results from this paper are related to the geometric function theory. In order obtain them, we use technique based on differential subordination, one of newest techniques used in field, also known as admissible functions. For that, appropriate classes functions first defined. Based these classes, some subordination and superordination for multivalent meromorphic functions, analytic puncture...