In this work, an improvement of Hölder–McCarty inequality is established. Based on that, several refinements the generalized mixed Schwarz are obtained. Consequently, some new numerical radius inequalities proved. New for $$n\times n$$ matrix Hilbert space operators proved as well. Some earlier results were in literature also given. presented refined and it shown to be better than literature.

production and preparation of many parts of the aircraft body including wings with long length, smooth form, and large radius of curvature are amongst the most important challenges in this industry. in this paper, the effective factors in the rubber pad forming method on a pieces contain curvature radius have been investigated by finite element method. the effect of variables such as curvature ...

Anthropogenic aerosols are hypothesized to decrease cloud drop radius and increase cloud droplet number concentration enhancing cloud optical depth and albedo. Here results have been used from a chemical transport model driven by the output of a numerical weather prediction model to identify an incursion of sulfate-laden air from the European continent over the mid–North Atlantic under the infl...

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

Let n and k be positive integers, and let F be an alphabet of size n. A sequence over F of length m is a k-radius sequence if any two distinct elements of F occur within distance k of each other somewhere in the sequence. These sequences were introduced by Jaromczyk and Lonc in 2004, in order to produce an efficient caching strategy when computing certain functions on large data sets such as me...

 Let $P(lambda)$ be an $n$-square complex matrix polynomial, and $1 leq k leq n$ be a positive integer. In this paper, some algebraic and geometrical properties of the $k$-numerical range of $P(lambda)$ are investigated. In particular, the relationship between the $k$-numerical range of $P(lambda)$ and the $k$-numerical range of its companion linearization is stated. Moreover, the $k$-numerical...

To determine the (k, l)-radius of a graph we have to find a set L of l vertices, such that the maximum k-distance of a set K, where |K| = k and L ⊆ K, attains the minimum value in a graph. This notion generalizes the radius, diameter and k-diameter. In this contribution the (k, l)-radius of the wheel Wn is determined for all possible values of parameters k and l.

Let k ∈ {1, . . . , n}. The k-numerical range of A ∈Mn is the set Wk(A) = {(trX∗AX)/k : X is n× k, X∗X = Ik}, and the k-numerical radius of A is the quantity wk(A) = max{|z| : z ∈ Wk(A)}. Suppose k > 1, k′ ∈ {1, . . . , n′} and n′ < C(n, k)min{k′, n′ − k′}. It is shown that there is a linear map φ : Mn → Mn′ satisfying Wk′(φ(A)) = Wk(A) for all A ∈ Mn if and only if n′/n = k′/k or n′/n = k′/(n−...

b number of arc segments within curve CF thrust coefficient CF;w weighted thrust coefficient Cx nozzle length-weight coefficient E numerical error k turbulent kinetic energy, m s−2 L total contour axial length, m Ma Mach number P static pressure, Pa r radius, m TW thrust-to-weight ratio x horizontal distance, m y vertical distance, m ε turbulent dissipation rate, m s−3 θ angle, deg ω specific d...