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## Takahasi, Sin-Ei

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 Author ID: takahasi.sin-ei Published as: Takahasi, S-E.; Takahasi, S.; Takahasi, S.-E.; Takahasi, S.-e.; Takahasi, Sin-Ei; Takahasi, Sin-ei External Links: ORCID · dblp
 Documents Indexed: 167 Publications since 1969
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#### Co-Authors

 44 single-authored 61 Miura, Takeshi 21 Takagi, Hiroyuki 12 Takahashi, Yasuji 12 Tsukada, Makoto 11 Oka, Hirokazu 10 Inoue, Jyunji 9 Hatori, Osamu 9 Hirasawa, Go 8 Kobayashi, Yuji 7 Hayata, Takahiro 7 Niwa, Norio 6 Nakasuji, Yasuo 5 Miyajima, Shizuo 5 Wada, Shuhei 4 Nakamoto, Ritsuo 4 Shirayanagi, Kiyoshi 4 Tanahashi, Kôtarô 4 Tsukada, Makato 3 Hara, Takuya 3 Honda, Aoi 3 Kumahara, Keisaku 3 Miura, Yasuhide 2 Choda, Hisashi 2 Fujii, Jun Ichi 2 Fujii, Masatoshi 2 Izuchi, Keiji 2 Kobayashi, Kiyotaka 2 Koshimizu, Hironao 2 Mićić, Jadranka 2 Rassias, John Michael 2 Seo, Yuki 1 Anbe, Seiji 1 Dadipour, Farzad 1 Dalla Riva, Matteo 1 Fujimoto, Ichiro 1 Furuta, Takayuki 1 Goel, Satya 1 Hasumi, Morisuke 1 Ishii, Takashi 1 Jung, Soon-Mo 1 Kanzo, Tadashi 1 Kato, Mikio 1 Moslehian, Mohammad Sal 1 Nakamura, Masahiro 1 Nakano, Masami 1 Oda, Hiroyoshi 1 Ogiwara, Toshiko 1 Okayasu, Takateru 1 Pečarić, Josip 1 Saitoh, Saburou 1 Sato, Kunio 1 Sato, Ryotaro 1 Takeuchi, Mamoru 1 Todoroki, M. 1 Tominaga, Masaru 1 Tsurumi, Kazuyuki 1 Uchiyama, Atsushi 1 Uchiyama, Mitsuru 1 Vasudevan, Ramaa 1 Watanabe, Keiichi
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#### Serials

 19 Bulletin of the Faculty of Science. Series A. Mathematics 14 Journal of Inequalities and Applications 13 RIMS Kokyuroku 9 International Journal of Mathematics and Mathematical Sciences 8 Mathematical Inequalities & Applications 7 Mathematica Japonica 5 Journal of Mathematical Analysis and Applications 5 Journal of Approximation Theory 4 Semigroup Forum 4 Journal of Nonlinear and Convex Analysis 4 Nihonkai Mathematical Journal 4 Scientiae Mathematicae Japonicae 3 Communications in Algebra 3 Rocky Mountain Journal of Mathematics 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Publicationes Mathematicae 3 Tokyo Journal of Mathematics 3 Bulletin of the Korean Mathematical Society 3 Taiwanese Journal of Mathematics 3 Journal of Mathematical Inequalities 2 Canadian Journal of Mathematics 2 Journal of the Korean Mathematical Society 2 Manuscripta Mathematica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Nonlinear Functional Analysis and Applications 2 The Australian Journal of Mathematical Analysis and Applications 2 Linear and Nonlinear Analysis 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Scientiarum Mathematicarum 1 Journal of Functional Analysis 1 Mathematical Journal of Okayama University 1 Mathematica Scandinavica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Utilitas Mathematica 1 Yokohama Mathematical Journal 1 Soochow Journal of Mathematics 1 Applied Mathematics Letters 1 Linear Algebra and its Applications 1 Tamsui Oxford Journal of Mathematical Sciences 1 Journal of Analysis and Applications 1 Banach Journal of Mathematical Analysis
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#### Fields

 78 Functional analysis (46-XX) 37 Real functions (26-XX) 36 Operator theory (47-XX) 27 Difference and functional equations (39-XX) 14 Ordinary differential equations (34-XX) 12 Approximations and expansions (41-XX) 11 Abstract harmonic analysis (43-XX) 6 Topological groups, Lie groups (22-XX) 4 Nonassociative rings and algebras (17-XX) 4 Probability theory and stochastic processes (60-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

77 Publications have been cited 632 times in 347 Documents Cited by Year
On the Hyers-Ulam stability of the Banach space-valued differential equation $$y'=\lambda y$$. Zbl 1011.34046
Takahasi, Sin-Ei; Miura, Takeshi; Miyajima, Shizuo
2002
A characterization of Hyers-Ulam stability of first order linear differential operators. Zbl 1045.47037
Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei
2003
Hyers-Ulam stability of linear differential operator with constant coefficients. Zbl 1039.34054
Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei
2003
The Hyers–Ulam stability constants of first order linear differential operators. Zbl 1074.47022
Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Miyajima, Shizuo
2004
Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations $$y'=\lambda y$$. Zbl 1069.34079
Miura, Takeshi; Jung, Soon-Mo; Takahasi, Sin-Ei
2004
On the Hyers-Ulam stability of real continuous function valued differentiable map. Zbl 1002.39039
Miura, Takeshi; Takahasi, Sin-ei; Choda, Hisashi
2001
A perturbation of ring derivations on Banach algebras. Zbl 1104.39025
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2006
On the best constant of Hyers-Ulam stability. Zbl 1079.39025
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2004
Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025
Takahasi, Sin-Ei; Hatori, Osamu
1990
Real-linear isometries between subspaces of continuous functions. Zbl 1328.46018
Koshimizu, Hironao; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2014
Essential norms and stability constants of weighted composition operators on $$C(X)$$. Zbl 1060.47033
Takagi, Hiroyuki; Miura, Takeshi; Takahasi, Sin-Ei
2003
On convergence of a recursive sequence $$x_{n+1}= f(x_{n-1},x_n)$$. Zbl 1100.39001
Takahasi, Sin-Ei; Miura, Yasuhide; Miura, Takeshi
2006
A refinement of various mean inequalities. Zbl 0917.26017
Hara, Takuya; Uchiyama, Mitsuru; Takahasi, Sin-Ei
1998
Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras. Zbl 1104.39026
Miura, Takeshi; Takahasi, Sin-Ei; Hirasawa, Go
2005
Inequalities of Furuta and Mond-Pečarić. Zbl 0924.47013
Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru
1999
Characterization of a generalized triangle inequality in normed spaces. Zbl 1242.46029
2012
Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040
Takahasi, Sin-Ei; Hatori, Osamu
1992
On characterizations of the image of the Gelfand transform of commutative Banach algebras. Zbl 1116.46037
Inoue, Jyunji; Takahasi, Sin-Ei
2007
Constructions of bounded weak approximate identities for Segal algebras on LCA groups. Zbl 0980.46038
Inoue, Jyunji; Takahasi, Sin-Ei
2000
Operator inequalities and covariance in noncommutative probability. Zbl 0902.47014
Fujii, Masatoshi; Furuta, Takayuki; Nakamoto, Ritsuo; Takahasi, Sin-Ei
1997
Classification of three-dimensional zeropotent algebras over an algebraically closed field. Zbl 1414.17001
Kobayashi, Yuji; Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto
2017
Exponential type functional equation and its Hyers-Ulam stability. Zbl 1154.39304
Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki
2007
Superstability of multipliers and ring derivations on Banach algebras. Zbl 1129.46040
Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei
2007
Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034
Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji
2010
Ger-type and Hyers–Ulam stabilities for the first-order linear differential operators of entire functions. Zbl 1079.47050
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2004
Norm equality condition in triangular inequality. Zbl 1031.46059
Nakamoto, Ritsuo; Takahasi, Sin-Ei
2002
$$(T,E)$$-Korovkin closures in normed spaces and BKW-operators. Zbl 0865.47008
Takahasi, Sin-Ei
1995
Bohman-Korovkin-Wulpert operators on normed spaces. Zbl 0778.41008
Takahasi, Sin-Ei
1993
Continuous semigroup structures on $$\mathbb R$$, cancellative semigroups and bands. Zbl 1321.22005
Kobayashi, Yuji; Nakasuji, Yasuo; Takahasi, Sin-Ei; Tsukada, Makoto
2015
Segal algebras in commutative Banach algebras. Zbl 1319.46040
Inoue, Jyunji; Takahasi, Sin-Ei
2014
Stability of the Banach space valued Chebyshev differential equation. Zbl 1257.34043
Miura, Takeshi; Takahasi, Sin-Ei; Hayata, Takahiro; Tanahashi, Kotaro
2012
On a Hyers-Ulam-Aoki-Rassias type stability and a fixed point theorem. Zbl 1209.39006
Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki
2010
Hyers-Ulam stability of the first order linear differential equation for Banach space-valued holomorphic mappings. Zbl 1143.34059
Miura, Takeshi; Oka, Hirokazu; Takahasi, Sin-Ei; Niwa, Norio
2007
Continuously differentiable means. Zbl 1133.26323
Fujii, Jun Ichi; Fujii, Masatoshi; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2006
Cooper’s approach to chaotic operator means. Zbl 1117.47013
Fujii, Jun Ichi; Nakamura, Masahiro; Takahasi, Sin-Ei
2006
Stability of multipliers on Banach algebras. Zbl 1085.47048
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2004
Commutative Banach algebras and BSE-norm. Zbl 0897.46044
Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô
1997
Korovkin’s theorems for C*-algebras. Zbl 0428.41014
Takahasi, Sin-ei
1979
Classification of three-dimensional zeropotent algebras over the real number field. Zbl 1414.17002
Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji
2018
Semigroup operations distributed by the ordinary multiplication or addition on the real numbers. Zbl 1413.22003
Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Oka, Hirokazu
2017
Classification of continuous fractional binary operations on the real and complex fields. Zbl 1364.30005
Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji
2015
Commutative semigroup operations on $$R^2$$ compatible with the ordinary additive operation. Zbl 1327.22002
Anbe, Seiji; Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi
2015
A reconsideration of Jensen’s inequality and its applications. Zbl 1285.39009
Nakasuji, Yasuo; Takahasi, Sin-Ei
2013
Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei
2012
A new interpretation of Jensen’s inequality and geometric properties of $$\phi$$-means. Zbl 1275.26054
Nakasuji, Yasuo; Kumahara, Keisaku; Takahasi, Sin-Ei
2011
A reconsideration of Hua’s inequality. II. Zbl 1133.26312
Takagi, Hiroyuki; Miura, Takeshi; Hayata, Takahiro; Takahasi, Sin-Ei
2006
Convex sets and inequalities. Zbl 1081.26019
Takahasi, Sin-Ei; Takahashi, Yasuji; Miyajima, Shizuo; Takagi, Hiroyuki
2005
A reconsideration of Hua’s inequality. Zbl 1081.26018
Takagi, Hiroyuki; Miura, Takeshi; Kanzo, Tadashi; Takahasi, Sin-Ei
2005
A new interpretation of Djoković’s inequality. Zbl 0978.26008
Takahasi, Sin-ei; Takahashi, Yasuji; Honda, Aoi
2000
An extension of Hlawka’s inequality. Zbl 0949.26012
Takahasi, Sin-Ei; Takahashi, Yasuji; Wada, Shuhei
2000
A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050
Takahasi, Sin-Ei; Hatori, Osamu
1999
The best possibility of the bound for the Kantorovich inequality and some remarks. Zbl 0934.26010
1997
Bohman-Korovkin-Wulbert operators on $$C[0,1]$$ for $$\{1,x,x^2,x^3,x^4\}$$. Zbl 0956.41501
Takahasi, Sin-ei
1990
Quasi-centrality of Banach algebras and approximate identity. Zbl 0522.46032
Takahasi, Sin-ei
1983
Characterization of distributive semigroup operations on the positive real numbers. Zbl 1440.22005
Takahasi, Sin-Ei; Miura, Takeshi; Oka, Hirokazu
2020
A construction of a BSE-algebra of type I which is isomorphic to no $$C^\ast$$-algebras. Zbl 1395.46035
Inoue, Jyunji; Takahasi, Sin-Ei
2017
Ulam type stability problems for alternative homomorphisms. Zbl 1372.39033
Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi; Takagi, Hiroyuki; Tanahashi, Kotaro
2014
A characterization of the stability of a system of the Banach space valued differential equations. Zbl 1288.34055
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro
2013
Stability problems for generalized additive mappings and Euler-Lagrange type mappings. Zbl 1245.39020
Todoroki, M.; Kumahara, K.; Miura, T.; Takahasi, S.-E.
2012
A note on the stability of an integral equation. Zbl 1248.45008
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro
2011
A general Hlawka inequality and its reverse inequality. Zbl 1177.26050
Takahashi, Yasuji; Takahasi, Sin-Ei; Wada, Shuhei
2009
A Cauchy-Euler type factorization of operators. Zbl 1181.47015
Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi; Takagi, Hiroyuki
2008
A perturbation of normal operators on a Hilbert space. Zbl 1162.47022
Miura, Takeshi; Uchiyama, Atsushi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei; Niwa, Norio
2008
On Wirtinger’s inequality and its elementary proof. Zbl 1171.26333
Takahasi, Sin-Ei; Miura, Takeshi; Hayata, Takahiro
2007
On the structure of the solution set of a third kind boundary value problem. Zbl 1048.34039
Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi
2003
Inequalities of Furuta and Mond-Pečarić on the Hadamard product. Zbl 0969.47016
Seo, Yuki; Takahasi, Sin-Ei; Pečarić, Josip; Mićić, Jadranka
2000
An inverse type of Jensen’s inequality. Zbl 0934.26006
Takahasi, Sin-Ei; Tsukada, Makoto; Tanahashi, Kôtarô; Ogiwara, Toshiko
1999
BKW-operators on the interval and the sequence spaces. Zbl 0861.41015
Izuchi, Keiji; Takahasi, Sin-Ei
1996
A note on finite codimensional linear isometries of $$C(X)$$ into $$C(Y)$$. Zbl 0844.46008
Takahasi, Sin-Ei; Okayasu, Takateru
1995
A note on the largest regular subalgebra of a Banach algebra. Zbl 0806.46052
Inoue, Jyunji; Takahasi, Sin-Ei
1992
A spectral mapping theorem for some representation of compact abelian groups. Zbl 0738.46025
Takahasi, Sin-Ei; Inoue, Jyunji
1992
Korovkin type theorem on $$C[0,1]$$. Zbl 0939.41519
Takahasi, Sin-ei
1990
The Arens product and quasi-multipliers. Zbl 0608.46026
Vasudevan, R.; Goel, Satya; Takahasi, S.
1985
Equivalent conditions for the general Stone-Weierstrass problem. Zbl 0579.46040
Fujimoto, Ichiro; Takahasi, Sin-Ei
1985
Finite dimensionality in socle of Banach algebras. Zbl 0581.46043
Takahasi, Sin-Ei
1984
An extension of Müntz-Szasz theorem and Hwang-Pan-Wu theorem. Zbl 0451.42020
Takahasi, Sin-ei
1980
Dixmier’s representation theorem of central double centralizers on Banach algebras. Zbl 0423.46036
Takahasi, Sin-Ei
1979
Characterization of distributive semigroup operations on the positive real numbers. Zbl 1440.22005
Takahasi, Sin-Ei; Miura, Takeshi; Oka, Hirokazu
2020
Classification of three-dimensional zeropotent algebras over the real number field. Zbl 1414.17002
Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji
2018
Classification of three-dimensional zeropotent algebras over an algebraically closed field. Zbl 1414.17001
Kobayashi, Yuji; Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto
2017
Semigroup operations distributed by the ordinary multiplication or addition on the real numbers. Zbl 1413.22003
Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Oka, Hirokazu
2017
A construction of a BSE-algebra of type I which is isomorphic to no $$C^\ast$$-algebras. Zbl 1395.46035
Inoue, Jyunji; Takahasi, Sin-Ei
2017
Continuous semigroup structures on $$\mathbb R$$, cancellative semigroups and bands. Zbl 1321.22005
Kobayashi, Yuji; Nakasuji, Yasuo; Takahasi, Sin-Ei; Tsukada, Makoto
2015
Classification of continuous fractional binary operations on the real and complex fields. Zbl 1364.30005
Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji
2015
Commutative semigroup operations on $$R^2$$ compatible with the ordinary additive operation. Zbl 1327.22002
Anbe, Seiji; Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi
2015
Real-linear isometries between subspaces of continuous functions. Zbl 1328.46018
Koshimizu, Hironao; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2014
Segal algebras in commutative Banach algebras. Zbl 1319.46040
Inoue, Jyunji; Takahasi, Sin-Ei
2014
Ulam type stability problems for alternative homomorphisms. Zbl 1372.39033
Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi; Takagi, Hiroyuki; Tanahashi, Kotaro
2014
A reconsideration of Jensen’s inequality and its applications. Zbl 1285.39009
Nakasuji, Yasuo; Takahasi, Sin-Ei
2013
A characterization of the stability of a system of the Banach space valued differential equations. Zbl 1288.34055
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro
2013
Characterization of a generalized triangle inequality in normed spaces. Zbl 1242.46029
2012
Stability of the Banach space valued Chebyshev differential equation. Zbl 1257.34043
Miura, Takeshi; Takahasi, Sin-Ei; Hayata, Takahiro; Tanahashi, Kotaro
2012
Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei
2012
Stability problems for generalized additive mappings and Euler-Lagrange type mappings. Zbl 1245.39020
Todoroki, M.; Kumahara, K.; Miura, T.; Takahasi, S.-E.
2012
A new interpretation of Jensen’s inequality and geometric properties of $$\phi$$-means. Zbl 1275.26054
Nakasuji, Yasuo; Kumahara, Keisaku; Takahasi, Sin-Ei
2011
A note on the stability of an integral equation. Zbl 1248.45008
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro
2011
Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034
Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji
2010
On a Hyers-Ulam-Aoki-Rassias type stability and a fixed point theorem. Zbl 1209.39006
Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki
2010
A general Hlawka inequality and its reverse inequality. Zbl 1177.26050
Takahashi, Yasuji; Takahasi, Sin-Ei; Wada, Shuhei
2009
A Cauchy-Euler type factorization of operators. Zbl 1181.47015
Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi; Takagi, Hiroyuki
2008
A perturbation of normal operators on a Hilbert space. Zbl 1162.47022
Miura, Takeshi; Uchiyama, Atsushi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei; Niwa, Norio
2008
On characterizations of the image of the Gelfand transform of commutative Banach algebras. Zbl 1116.46037
Inoue, Jyunji; Takahasi, Sin-Ei
2007
Exponential type functional equation and its Hyers-Ulam stability. Zbl 1154.39304
Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki
2007
Superstability of multipliers and ring derivations on Banach algebras. Zbl 1129.46040
Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei
2007
Hyers-Ulam stability of the first order linear differential equation for Banach space-valued holomorphic mappings. Zbl 1143.34059
Miura, Takeshi; Oka, Hirokazu; Takahasi, Sin-Ei; Niwa, Norio
2007
On Wirtinger’s inequality and its elementary proof. Zbl 1171.26333
Takahasi, Sin-Ei; Miura, Takeshi; Hayata, Takahiro
2007
A perturbation of ring derivations on Banach algebras. Zbl 1104.39025
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2006
On convergence of a recursive sequence $$x_{n+1}= f(x_{n-1},x_n)$$. Zbl 1100.39001
Takahasi, Sin-Ei; Miura, Yasuhide; Miura, Takeshi
2006
Continuously differentiable means. Zbl 1133.26323
Fujii, Jun Ichi; Fujii, Masatoshi; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2006
Cooper’s approach to chaotic operator means. Zbl 1117.47013
Fujii, Jun Ichi; Nakamura, Masahiro; Takahasi, Sin-Ei
2006
A reconsideration of Hua’s inequality. II. Zbl 1133.26312
Takagi, Hiroyuki; Miura, Takeshi; Hayata, Takahiro; Takahasi, Sin-Ei
2006
Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras. Zbl 1104.39026
Miura, Takeshi; Takahasi, Sin-Ei; Hirasawa, Go
2005
Convex sets and inequalities. Zbl 1081.26019
Takahasi, Sin-Ei; Takahashi, Yasuji; Miyajima, Shizuo; Takagi, Hiroyuki
2005
A reconsideration of Hua’s inequality. Zbl 1081.26018
Takagi, Hiroyuki; Miura, Takeshi; Kanzo, Tadashi; Takahasi, Sin-Ei
2005
The Hyers–Ulam stability constants of first order linear differential operators. Zbl 1074.47022
Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Miyajima, Shizuo
2004
Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations $$y'=\lambda y$$. Zbl 1069.34079
Miura, Takeshi; Jung, Soon-Mo; Takahasi, Sin-Ei
2004
On the best constant of Hyers-Ulam stability. Zbl 1079.39025
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2004
Ger-type and Hyers–Ulam stabilities for the first-order linear differential operators of entire functions. Zbl 1079.47050
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2004
Stability of multipliers on Banach algebras. Zbl 1085.47048
Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei
2004
A characterization of Hyers-Ulam stability of first order linear differential operators. Zbl 1045.47037
Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei
2003
Hyers-Ulam stability of linear differential operator with constant coefficients. Zbl 1039.34054
Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei
2003
Essential norms and stability constants of weighted composition operators on $$C(X)$$. Zbl 1060.47033
Takagi, Hiroyuki; Miura, Takeshi; Takahasi, Sin-Ei
2003
On the structure of the solution set of a third kind boundary value problem. Zbl 1048.34039
Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi
2003
On the Hyers-Ulam stability of the Banach space-valued differential equation $$y'=\lambda y$$. Zbl 1011.34046
Takahasi, Sin-Ei; Miura, Takeshi; Miyajima, Shizuo
2002
Norm equality condition in triangular inequality. Zbl 1031.46059
Nakamoto, Ritsuo; Takahasi, Sin-Ei
2002
On the Hyers-Ulam stability of real continuous function valued differentiable map. Zbl 1002.39039
Miura, Takeshi; Takahasi, Sin-ei; Choda, Hisashi
2001
Constructions of bounded weak approximate identities for Segal algebras on LCA groups. Zbl 0980.46038
Inoue, Jyunji; Takahasi, Sin-Ei
2000
A new interpretation of Djoković’s inequality. Zbl 0978.26008
Takahasi, Sin-ei; Takahashi, Yasuji; Honda, Aoi
2000
An extension of Hlawka’s inequality. Zbl 0949.26012
Takahasi, Sin-Ei; Takahashi, Yasuji; Wada, Shuhei
2000
Inequalities of Furuta and Mond-Pečarić on the Hadamard product. Zbl 0969.47016
Seo, Yuki; Takahasi, Sin-Ei; Pečarić, Josip; Mićić, Jadranka
2000
Inequalities of Furuta and Mond-Pečarić. Zbl 0924.47013
Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru
1999
A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050
Takahasi, Sin-Ei; Hatori, Osamu
1999
An inverse type of Jensen’s inequality. Zbl 0934.26006
Takahasi, Sin-Ei; Tsukada, Makoto; Tanahashi, Kôtarô; Ogiwara, Toshiko
1999
A refinement of various mean inequalities. Zbl 0917.26017
Hara, Takuya; Uchiyama, Mitsuru; Takahasi, Sin-Ei
1998
Operator inequalities and covariance in noncommutative probability. Zbl 0902.47014
Fujii, Masatoshi; Furuta, Takayuki; Nakamoto, Ritsuo; Takahasi, Sin-Ei
1997
Commutative Banach algebras and BSE-norm. Zbl 0897.46044
Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô
1997
The best possibility of the bound for the Kantorovich inequality and some remarks. Zbl 0934.26010
1997
BKW-operators on the interval and the sequence spaces. Zbl 0861.41015
Izuchi, Keiji; Takahasi, Sin-Ei
1996
$$(T,E)$$-Korovkin closures in normed spaces and BKW-operators. Zbl 0865.47008
Takahasi, Sin-Ei
1995
A note on finite codimensional linear isometries of $$C(X)$$ into $$C(Y)$$. Zbl 0844.46008
Takahasi, Sin-Ei; Okayasu, Takateru
1995
Bohman-Korovkin-Wulpert operators on normed spaces. Zbl 0778.41008
Takahasi, Sin-Ei
1993
Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040
Takahasi, Sin-Ei; Hatori, Osamu
1992
A note on the largest regular subalgebra of a Banach algebra. Zbl 0806.46052
Inoue, Jyunji; Takahasi, Sin-Ei
1992
A spectral mapping theorem for some representation of compact abelian groups. Zbl 0738.46025
Takahasi, Sin-Ei; Inoue, Jyunji
1992
Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025
Takahasi, Sin-Ei; Hatori, Osamu
1990
Bohman-Korovkin-Wulbert operators on $$C[0,1]$$ for $$\{1,x,x^2,x^3,x^4\}$$. Zbl 0956.41501
Takahasi, Sin-ei
1990
Korovkin type theorem on $$C[0,1]$$. Zbl 0939.41519
Takahasi, Sin-ei
1990
The Arens product and quasi-multipliers. Zbl 0608.46026
Vasudevan, R.; Goel, Satya; Takahasi, S.
1985
Equivalent conditions for the general Stone-Weierstrass problem. Zbl 0579.46040
Fujimoto, Ichiro; Takahasi, Sin-Ei
1985
Finite dimensionality in socle of Banach algebras. Zbl 0581.46043
Takahasi, Sin-Ei
1984
Quasi-centrality of Banach algebras and approximate identity. Zbl 0522.46032
Takahasi, Sin-ei
1983
An extension of Müntz-Szasz theorem and Hwang-Pan-Wu theorem. Zbl 0451.42020
Takahasi, Sin-ei
1980
Korovkin’s theorems for C*-algebras. Zbl 0428.41014
Takahasi, Sin-ei
1979
Dixmier’s representation theorem of central double centralizers on Banach algebras. Zbl 0423.46036
Takahasi, Sin-Ei
1979
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all top 5

#### Cited in 116 Serials

 27 Journal of Inequalities and Applications 24 Journal of Mathematical Analysis and Applications 19 Abstract and Applied Analysis 18 Applied Mathematics Letters 16 Linear Algebra and its Applications 13 Discrete Dynamics in Nature and Society 12 Journal of Function Spaces 11 Advances in Difference Equations 9 Mediterranean Journal of Mathematics 8 Applied Mathematics and Computation 5 Results in Mathematics 5 Tokyo Journal of Mathematics 5 Aequationes Mathematicae 5 Symmetry 4 Computers & Mathematics with Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Semigroup Forum 4 Mathematical Inequalities & Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications in Algebra 3 Manuscripta Mathematica 3 Acta Mathematica Hungarica 3 Bulletin des Sciences Mathématiques 3 Acta Mathematica Sinica. English Series 3 Applied Mathematics E-Notes 3 Central European Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 The Journal of Fourier Analysis and Applications 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nihonkai Mathematical Journal 2 Journal of Applied Mathematics and Computing 2 Journal of Intelligent and Fuzzy Systems 2 Journal of Function Spaces and Applications 2 International Journal of Geometric Methods in Modern Physics 2 Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Differential Equations and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Afrika Matematika 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Topology Proceedings 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Positivity 1 Analysis (München) 1 Communications in Nonlinear Science and Numerical Simulation 1 Applied Sciences 1 Annales Henri Poincaré 1 Annales Mathematicae Silesianae 1 Qualitative Theory of Dynamical Systems 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Fixed Point Theory 1 Proyecciones 1 Communications in Mathematical Analysis 1 International Electronic Journal of Algebra (IEJA) 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis ...and 16 more Serials
all top 5

#### Cited in 39 Fields

 112 Difference and functional equations (39-XX) 103 Functional analysis (46-XX) 93 Operator theory (47-XX) 92 Ordinary differential equations (34-XX) 33 Real functions (26-XX) 18 Partial differential equations (35-XX) 18 Approximations and expansions (41-XX) 14 Abstract harmonic analysis (43-XX) 11 Topological groups, Lie groups (22-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Integral equations (45-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 6 Nonassociative rings and algebras (17-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX)