On the q−derivatives of a new sequence of operators

In this paper we obtain moment estimates for a new sequence of q−operators very recently introduced by Aral and Gupta [1]. We obtain degree of approximation by the q−derivatives of these operators. We show that for a fixed q, these operators do not possess simultaneous approximation properties

On certain Baskakov-Durrmeyer type operators

This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness

On certain Durrmeyer type operators

Deo [5] introduced n-th Durrmeyer operators defined for functions integrable in some interval I. There are gaps and mistakes in some of his lemmas and theorems. Further, in his paper [4] he did not give results on simultaneous approximation as the title reveals. The purpose of this paper is to correct those mistakes

Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas

The purpose of the present paper is to introduce $q-$ analouge of a sequence of linear and positive operators which was introduced by A. Lupas [2]. First, we estimate moments of the operators and then prove a basic convergence theorem. Next, a local direct approximation theorem is established. Further, we study the rate of convergence and point-wise estimate using the Lipschitz type maximal function

An automated and optimized geo-computation approach for spatial fire risk modelling using geo-web service orchestration

Forest fire detection through space-based observations using thermal sensors is in operation since more than one decades. These active fire alerts are generated by using products from MODIS and SNPP–VIIRS satellites and are limited up to identification of active fire locations based on recorded temperature in satellite sensors. However, relation of fire location with forest type map, terrain profile and weather data are required for planning and monitoring of vulnerable areas. An attempt is made to develop online Spatial Decision Support System (SDSS) and spatial model for forest fire risk mapping. The developed SDSS is based on Geospatial Web Service Orchestration (GWSO) workflow which enables forest fire risk alerts and advisories as Web Map Service, Geo SMS and a Geoportal application. User can use this SDSS with minimum technical skills and limited computation resources to generate daily forest fire risk map for fire monitoring and management