English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we introduce the mapping Ψx,y (t) = (x, x + ty)p ‖x + ty‖−1 , which is derived from the lower and upper semi-inner product (·, ·)i and (·, ·)s , and study its properties of monotonicity, boundedness and convexity. We give applications to height functions and to inequalities in analysis, including a refinement of the Schwarz inequality. Mathematics subject classification (1991): 46B20, 46B99, 46C20, 46C99, 26D15, 26D99.

The mapping Ψ^p_x,y in normed linear spaces and its applications in the theory of inequalities