Abstract The aim of this paper is to classify the cubic polynomials $$\begin{aligned} H(z,x,y)=\sum _{j+k\le 3}a_{jk}(z)x^jy^k \end{aligned}$$ H ( z , x y ) <mml:mo...

   The performance of a decision making unit (DMU) can be evaluated in either across-sectional or a time-series manner, and data envelopment analysis (DEA) is a useful method for both types of evaluation. The Malmquist productivity index (MPI) evaluates the change in efficiency of a DMU between two time periods. It is defined as the product of the Catch-up and Frontier-shift terms. In this pape...

We consider problems related to the generalization of the classical Fourier basis to a basis of rational functions with prescribed poles outside the unit disk. We give some generalizations about the convergence and estimation of the Fourier coefficients with respect to this generalized basis. We also consider a rational generalization of the classical Toeplitz matrices and consider the asymptot...

This paper explores the use of the optimisation procedures in SAS/OR software with application to the measurement of e#ciency and productivity of decision-making units (DMUs) using data envelopment analysis (DEA) techniques. DEA was originally introduced by Charnes et al. [J. Oper. Res. 2 (1978) 429] is a linear programming method for assessing the e#ciency and productivity of DMUs. Over the la...

Using panel data from China’s tobacco manufacturing industry 2014 to 2018, the DEA-Malmquist method is used measure green total factor productivity of on basis comprehensive consideration environmental pollution and energy consumption. The study found that Malmquist index basically showed a fluctuating upward trend; technical level 2014-2017 needs be improved, 2017-2018 has begun improve.

this study aimed to measure the hospital productivity using data envelopment analysis (dea) technique and malmquist indices.this is a cross sectional study in which the panel data were used in a 4 year period from 2007 to 2010. the research was implemented in 12 teaching and non-teaching hospitals of ahvaz county. data envelopment analysis technique and the malmquist indices with an input-orien...