Mixed Type Of Additive And Quintic Functional Equations

• Autorzy: Abasalt Bodaghi , Pasupathi Narasimman , Krishnan Ravi , Behrouz Shojaee
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form [...] f(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) $$f\left( {3x + y} \right) - 5f\left( {2x + y} \right) + f\left( {2x - y} \right) + 10f\left( {x + y} \right) - 5f\left( {x - y} \right) = 10f\left( y \right) + 4f\left( {2x} \right) - 8f\left( x \right)$$ in the set of real numbers.

Słowa kluczowe

EN

additive functional equation; Hyers–Ulam stability; quintic functional equation

Kategorie tematyczne

• 39B82: Stability, separation, extension, and related topics
• 39B72: Systems of functional equations and inequalities

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2015
• Tom: 29
• Numer: 1
• Strony: 35-50

Daty

wydano

2015-09-01

otrzymano

2014-07-17

poprawiono

2014-10-31

online

2015-09-30

Twórcy

autor

Abasalt Bodaghi

• Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran

autor

Pasupathi Narasimman

• Department of Mathematics, Thiruvalluvar University College of Arts and Science, Gazhalnayaganpatti, Tirupattur-635 901 Tamil Nadu, India

autor

Krishnan Ravi

• Department of Mathematics, Sacred Heart College, Tirupattur-635 601, TamilNadu, India

autor

Behrouz Shojaee

• Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2015-0004