Abstract
In the present paper, we shall give an extension of the well known Pecaric-Rajic inequality in a quasi-Banach space, we establish the generalized inequality for an arbitrary number of finitely many nonzero elements of a quasi-Banach space, and obtain the corresponding upper and lower bounds. As a result, we get some more general inequalities.
Highlights
Let us first recall some basic facts concerning quasi-Banach spaces and some preliminary results
A quasi-norm is a real-valued function on X satisfying the following: 1. x ≥ 0 for all x ∈ X and x = 0 if and only if x = 0 ; 2. λ x= λ ⋅ x for all λ ∈ and all x ∈ X ; 3
In this paper we establish a generalisation of the so-called Pecaric-Rajic inequality by providing upper and lower bounds for the norm of the linear combination
Summary
Let us first recall some basic facts concerning quasi-Banach spaces and some preliminary results. (2017) Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space. Accepted: August 27, 2017 si-Banach space, and obtain the corresponding upper and lower bounds. For more information about quasi-Banach spaces, the readers can refer to [1].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
