Open AccessRefined bounds of the quantum quadratures within the class of distance-disturbed convex functions in two dimensions
Author(s) -
Gabriela Cristescu,
Muhammad Uzair Awan,
Mihail Găianu
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1903825c
Subject(s) - mathematics , convexity , class (philosophy) , regular polygon , quantum , point (geometry) , convex function , mathematical analysis , pure mathematics , geometry , quantum mechanics , physics , artificial intelligence , computer science , financial economics , economics
In this paper, we introduce the class of disturbed convex functions defined by means of distance perturbations in two dimensions on co-ordinates. Some quantum trapezoidal estimations are obtained for functions having two dimensional distance-disturbed convexity properties. Refined bounds of the quantum integrals of distance-disturbed convex functions on coordinates are deduced by using the rectangular finite elements technique. These approximations are as best as possible from the sharpness point of view. The sharpness of few results from the literature follows as consequence of the new results in this paper.