Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ https://aip.scitatio...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
https://aip.scitation.org/doi/...
Article
Data sources: UnpayWall
https://doi.org/10.1063/1.5033...
Article . 2018 . Peer-reviewed
Data sources: Crossref
http://ui.adsabs.harvard.edu/a...
Other literature type
Data sources: Microsoft Academic Graph
 View all 1 versions
Claim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

The stability of quadratic-reciprocal functional equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2018Publisher:Author(s)Journal:AIP Conference Proceedings, volume 1,955, page 40,171 (issn: 0094-243X, Copyright policy )
Authors: Aimin Song; Minwei Song;

doi: 10.1063/1.5033835

The stability of quadratic-reciprocal functional equation

Abstract

A new quadratic-reciprocal functional equation f((k+1)x+ky)+f((k+1)x−ky)=2f(x)f(y)[(k+1)2f(y)+k2f(x)][(k+1)2f(y)−k2f(x)]2 is introduced. The Hyers-Ulam stability for the quadratic-reciprocal functional equations is proved in Banach spaces using the direct method and the fixed point method, respectively.A new quadratic-reciprocal functional equation f((k+1)x+ky)+f((k+1)x−ky)=2f(x)f(y)[(k+1)2f(y)+k2f(x)][(k+1)2f(y)−k2f(x)]2 is introduced. The Hyers-Ulam stability for the quadratic-reciprocal functional equations is proved in Banach spaces using the direct method and the fixed point method, respectively.

Related Organizations
  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze