The phrase "a generalized means" is correct and usable in written English.
It can be used when discussing a method or approach that is applicable in a broad or general context.
Example: "In this study, we will explore a generalized means of assessing the effectiveness of various teaching strategies."
Alternatives: "a broad method" or "a universal approach".
The Hölder mean is a generalized mean of the form, (A.7).
Equation (1.48) is a weighted mixed symmetric mean and (1.49) is a generalized mean, as given in [2].
Let us note that a generalized mean value Theorem 2.9 for fractional derivative was given in [7].
One of the earlier investigations came from Steyn-Ross et al. [12], who extended a generalized mean field firing-rate model that postulates specific short range and long range connections between cortical neurons.
Such a set includes, e.g., any generalized mean of order p of the agents' initial states.
The constraint used is a constant generalized mean (" q-mean") which generates a family of q-Exponential distributions.
Motivated by proving an inequality that appeared in our research in Monte Carlo multiple importance sampling (MIS), we identified first a sufficient condition for a generalized weighted means inequality where only the weights are changed.
It is obvious that (X r,s,t)) is a sequence space whenever X is a sequence space, and we call it the sequence space of generalized means.
We generalize means of Stolarsky type and show the monotonicity of these generalized means.
For any sequence (x=(x_{n})in{w}), we define the sequence (y= y_{n})) of generalized means of x by: y_{n}=frac{1}{r_{n}}sum _{k=0}^{n}{s_{n-k}t_{k}x_{k}} quad (nin{mathbb{N}_{0}}). (5) Further, we define the infinite matrix (A r,s,t)) of generalized means by bigl(A r,s,t)_{nk}bigr)=left { textstylebegin{array}{l@{quad}l} s_{n-k}t_{k}/r_{n},& 0leq{k}leq{n}, 0,& k>n end{array}displaystyle right.
