Zobrazeno 1 - 10
of 111
pro vyhledávání: '"PL. Kannappan"'
Autor:
Pl. Kannappan, P. K. Sahoo
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 1, Pp 117-124 (1998)
In this paper, we determine the general solution of the functional equations f(x+y+xy)=p(x)+q(y)+g(x)h(y), (∀x,y∈ℜ*) and f(ax+by+cxy)=f(x)+f(y)+f(x)f(y), (∀x,y∈ℜ) which are generalizations of a functional equation studied by Pompeiu. We p
Externí odkaz:
https://doaj.org/article/a452202f6f5747d38530d79aa024134d
Autor:
Pl. Kannappan, V. Sathyabhama
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2, Iss 3, Pp 459-471 (1979)
This paper contains the solution of a functional equation which is a generalization of a functional equation arising in a characterization of directed divergence and inaccuracy.
Externí odkaz:
https://doaj.org/article/09ac4ea3b1fb43da9e4decf2e22df972
Autor:
Pl. Kannappan, P. K. Sahoo
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 9, Iss 3, Pp 545-550 (1986)
In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β. Here, we find the general solution of the functional equation (2) on an open domain
Externí odkaz:
https://doaj.org/article/a932971539c74a11b0896fd609f59209
Autor:
Pl. Kannappan
Publikováno v:
Publicationes Mathematicae Debrecen. 23:103-109
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54bfce5120fa773d48648eaa3a4d3260
https://doi.org/10.5486/pmd.1976.23.1-2.16
https://doi.org/10.5486/pmd.1976.23.1-2.16
Autor:
Pl. Kannappan, C. T. Ng
Publikováno v:
Publicationes Mathematicae Debrecen. 32:243-249
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8024a223641704649f7f3099c915f10d
https://doi.org/10.5486/pmd.1985.32.3-4.13
https://doi.org/10.5486/pmd.1985.32.3-4.13
Autor:
Pl. Kannappan
Publikováno v:
The Mathematical Gazette. 88:249-257
Dedicated to Professor S. Kurepa on the occasion of his 73rd birthday. We are familiar with many trigonometric formulas (identities)leading to five more identitiesand so on, where #x211D; is the set of reals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc0fbbf08fca9b0091635f5828e9afbb
https://doi.org/10.1017/s0025557200174984
https://doi.org/10.1017/s0025557200174984
Autor:
Pl. KANNAPPAN
Publikováno v:
Proceedings of Indian National Science Academy, Vol 6, Iss 6 (2015)
ON VARIOUS CHARACTERIZATIONS OF GENERALIZED DIRECTED DIVERGENCE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::cd6abc077a052da8764b3aeefe9b9a44
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20005b92_655.pdf
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20005b92_655.pdf
Autor:
Weinian Zhang, Pl. Kannappan
Publikováno v:
Results in Mathematics. 42:277-288
In this paper we introduce a method to find the sum of powers on arithmetic progressions by using Cauchy’s equation and obtain a general formula. Then we apply our results to show how to determine some other sums of powers and sums of products. Our
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce618a4df0d71cdea0cc0891542370a3
https://doi.org/10.1007/bf03322855
https://doi.org/10.1007/bf03322855
Publikováno v:
Aequationes Mathematicae. 55:44-60
In this paper, we study the class of functions whose second difference admits product form. In particular, we determine the general solution of the functional equation ¶¶f (x1 yz, x2 y2) - f (x1 y1, x2 y2-1) - f (x1y1-1, x2 y2) + f (x1 y1-1, x2 y2-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e06080175f61409f6714a015cbc00f5b
https://doi.org/10.1007/pl00000044
https://doi.org/10.1007/pl00000044
Publikováno v:
Results in Mathematics. 31:115-126
In this paper, we determine the general solution of the functional equation $$f(x)-g(y)=(x-y)\lbrack h(x+y)+\psi (x)+\phi (y)\rbrack$$ for all real numbers x and y. This equation arises in connection with Simpson’s Rule for the numerical evaluation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::336a14717f0acaeab0ea61d051f6c626
https://doi.org/10.1007/bf03322154
https://doi.org/10.1007/bf03322154