Linear Inequalities via Interpolation Polynomials and Green Functions

Nazia Irshad, Asif R. Khan, Faraz Mehmood and Josip Pečarić
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Nazia Irshad: Dawood University of Engineering and Technology, Department of Mathematics
Asif R. Khan: University of Karachi, Department of Mathematics
Faraz Mehmood: Dawood University of Engineering and Technology, Department of Mathematics
Josip Pečarić: Croatian Academy of Sciences and Arts

Chapter Chapter 1 in New Perspectives on the Theory of Inequalities for Integral and Sum, 2021, pp 1-86 from Springer

Abstract: Abstract Linear inequalities are those inequalities which involve linear functionals or linear relations. Its best examples are discrete and integral inequalities which are of great importance. In this book several general linear inequalities involving functions of general nature have been stated and proved. To our eye the term general linear inequalities proves subjective to some extent. In our view a general linear inequality is an inequality which is not confined to a specific function rather it is valid for a class of functions. Moreover, it may have the ability to give birth to many other inequalities by substitution of suitable functions and conditions in it. For further study on the topic we refer the monograph.

Date: 2021
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DOI: 10.1007/978-3-030-90563-7_1

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