Krishnan Ravi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Krishnan Ravi has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- John Michael Rassias
National and Capodistrian University of Athens
3 shared publications - B. V. Senthil Kumar
Department of Mathematics, C. Abdul Hakeem College of Engg. and Tech
2 shared publications - Abasalt Bodaghi
Department of Mathematics, WT.C., Islamic Azad University, Tehran, Iran
1 shared publication - Behrouz Shojaee
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
1 shared publication - Beri Venkatachalapathy Senthil Kumar
Department of Mathematics, C. Abdul Hakeem College of Engineering and Technology, Melvisharam, India
1 shared publication - Pasupathi Narasimman
Thiruvalluvar University College of Arts and Science, Department of Mathematics, Gazhalnayaganpatti, Tirupattur, TamilNadu, India
1 shared publication
Latest Publications
- Open Access
- 1 September 2017
- Published by Tbilisi Centre for Mathematical Sciences in Advanced Studies: Euro-Tbilisi Mathematical Journal
- Vol. 10 (4) , 83-101
A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-$β$-normed spaces
In this study, we achieve the general solution and investigate Ulam-Hyers stabilities involving a general control function, sum of powers of norms, product of powers of norms and mixed product-sum of powers of norms of the duodecic functional equation in quasi-$β$-normed spaces via fixed point method. We also illustrate a counter-example for non-stability of the duodecic functional equation in singular case.
- 1 September 2017
- Published by Tbilisi Centre for Mathematical Sciences in Advanced Studies: Euro-Tbilisi Mathematical Journal
- Vol. 10 (4) , 83-101
Open AccessA fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-$β$-normed spaces
In this study, we achieve the general solution and investigate Ulam-Hyers stabilities involving a general control function, sum of powers of norms, product of powers of norms and mixed product-sum of powers of norms of the duodecic functional equation in quasi-$β$-normed spaces via fixed point method. We also illustrate a counter-example for non-stability of the duodecic functional equation in singular case.
- Open Access
- 10 January 2017
- Published by Sciencedomain International in British Journal of Mathematics & Computer Science
- Vol. 20 (6) , 1-9
Generalized Hyers-Ulam Stability of a Cubic Reciprocal Functional Equation
In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form in non-Archimedean elds with f(y) ≠ 1/8 f(x). We also extend the results related to Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation.
- 10 January 2017
- Published by Sciencedomain International in British Journal of Mathematics & Computer Science
- Vol. 20 (6) , 1-9
Open AccessGeneralized Hyers-Ulam Stability of a Cubic Reciprocal Functional Equation
In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form in non-Archimedean elds with f(y) ≠ 1/8 f(x). We also extend the results related to Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation.
- Open Access
- 1 December 2016
- Published by Tbilisi Centre for Mathematical Sciences in Tbilisi Mathematical Journal
- Vol. 9 (2) , 83-103
Ulam-Hyers stability of undecic functional equation in quasi-$\beta$-normed spaces: Fixed point method
In this paper, we acquire the general solution of the undecic functional equation $$\begin{align*} & f(x+6y)-11f(x+5y)+55f(x+4y)-165f(x+3y)+330f(x+2y)\\ & \qquad\qquad -462f(x+y)+462f(x)-330f(x-y)+165f(x-2y)-55f(x-3y)\\ & \quad\qquad\qquad\qquad\qquad\qquad +11f(x-4y)-f(x-5y)=39916800f(y). \end{align*}$$ We also obtain the generalized Ulam-Hyers stability of the above functional equation in quasi-$\beta$-normed spaces using fixed point method. Moreover, we investigate the pertinent stabilities of the above functional equation using sum of powers of norms, product of powers of norms and mixed product-sum of powers of norms as upper bounds. We also present a counter-example for non-stability of the above functional equation in singular case.- 1 December 2016
- Published by Tbilisi Centre for Mathematical Sciences in Tbilisi Mathematical Journal
- Vol. 9 (2) , 83-103
Open AccessUlam-Hyers stability of undecic functional equation in quasi-$\beta$-normed spaces: Fixed point method
In this paper, we acquire the general solution of the undecic functional equation $$\begin{align*} & f(x+6y)-11f(x+5y)+55f(x+4y)-165f(x+3y)+330f(x+2y)\\ & \qquad\qquad -462f(x+y)+462f(x)-330f(x-y)+165f(x-2y)-55f(x-3y)\\ & \quad\qquad\qquad\qquad\qquad\qquad +11f(x-4y)-f(x-5y)=39916800f(y). \end{align*}$$ We also obtain the generalized Ulam-Hyers stability of the above functional equation in quasi-$\beta$-normed spaces using fixed point method. Moreover, we investigate the pertinent stabilities of the above functional equation using sum of powers of norms, product of powers of norms and mixed product-sum of powers of norms as upper bounds. We also present a counter-example for non-stability of the above functional equation in singular case. - Open Access
- 1 September 2015
- Published by Walter de Gruyter GmbH in Annales Mathematicae Silesianae
- Vol. 29 (1) , 35-50
Mixed Type Of Additive And Quintic Functional Equations
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
- 1 September 2015
- Published by Walter de Gruyter GmbH in Annales Mathematicae Silesianae
- Vol. 29 (1) , 35-50
Open AccessMixed Type Of Additive And Quintic Functional Equations
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
- Open Access
- 8 January 2015
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 4 (2) , 117-126
Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields
- 8 January 2015
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 4 (2) , 117-126
Open AccessUlam stability of a generalized reciprocal type functional equation in non-Archimedean fields