Edit Profile Takahasi, Sin-Ei Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1011.34046Takahasi, Sin-Ei; Miura, Takeshi; Miyajima, Shizuo 92 2002 A characterization of Hyers-Ulam stability of first order linear differential operators. Zbl 1045.47037Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei 81 2003 Hyers-Ulam stability of linear differential operator with constant coefficients. Zbl 1039.34054Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei 54 2003 The Hyers–Ulam stability constants of first order linear differential operators. Zbl 1074.47022Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Miyajima, Shizuo 35 2004 Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations \(y'=\lambda y\). Zbl 1069.34079Miura, Takeshi; Jung, Soon-Mo; Takahasi, Sin-Ei 32 2004 On the Hyers-Ulam stability of real continuous function valued differentiable map. Zbl 1002.39039Miura, Takeshi; Takahasi, Sin-ei; Choda, Hisashi 28 2001 A perturbation of ring derivations on Banach algebras. Zbl 1104.39025Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 27 2006 On the best constant of Hyers-Ulam stability. Zbl 1079.39025Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 18 2004 Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025Takahasi, Sin-Ei; Hatori, Osamu 18 1990 Real-linear isometries between subspaces of continuous functions. Zbl 1328.46018Koshimizu, Hironao; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 17 2014 Essential norms and stability constants of weighted composition operators on \(C(X)\). Zbl 1060.47033Takagi, Hiroyuki; Miura, Takeshi; Takahasi, Sin-Ei 17 2003 On convergence of a recursive sequence \(x_{n+1}= f(x_{n-1},x_n)\). Zbl 1100.39001Takahasi, Sin-Ei; Miura, Yasuhide; Miura, Takeshi 16 2006 A refinement of various mean inequalities. Zbl 0917.26017Hara, Takuya; Uchiyama, Mitsuru; Takahasi, Sin-Ei 15 1998 Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras. Zbl 1104.39026Miura, Takeshi; Takahasi, Sin-Ei; Hirasawa, Go 13 2005 Inequalities of Furuta and Mond-Pečarić. Zbl 0924.47013Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru 13 1999 Characterization of a generalized triangle inequality in normed spaces. Zbl 1242.46029Dadipour, Farzad; Moslehian, Mohammad Sal; Rassias, John M.; Takahasi, Sin-Ei 9 2012 Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040Takahasi, Sin-Ei; Hatori, Osamu 8 1992 On characterizations of the image of the Gelfand transform of commutative Banach algebras. Zbl 1116.46037Inoue, Jyunji; Takahasi, Sin-Ei 7 2007 Constructions of bounded weak approximate identities for Segal algebras on LCA groups. Zbl 0980.46038Inoue, Jyunji; Takahasi, Sin-Ei 6 2000 Operator inequalities and covariance in noncommutative probability. Zbl 0902.47014Fujii, Masatoshi; Furuta, Takayuki; Nakamoto, Ritsuo; Takahasi, Sin-Ei 6 1997 Classification of three-dimensional zeropotent algebras over an algebraically closed field. Zbl 1414.17001Kobayashi, Yuji; Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto 5 2017 Exponential type functional equation and its Hyers-Ulam stability. Zbl 1154.39304Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki 5 2007 Superstability of multipliers and ring derivations on Banach algebras. Zbl 1129.46040Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei 5 2007 Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji 4 2010 Ger-type and Hyers–Ulam stabilities for the first-order linear differential operators of entire functions. Zbl 1079.47050Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 4 2004 Norm equality condition in triangular inequality. Zbl 1031.46059Nakamoto, Ritsuo; Takahasi, Sin-Ei 4 2002 \((T,E)\)-Korovkin closures in normed spaces and BKW-operators. Zbl 0865.47008Takahasi, Sin-Ei 4 1995 Bohman-Korovkin-Wulpert operators on normed spaces. Zbl 0778.41008Takahasi, Sin-Ei 4 1993 Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands. Zbl 1321.22005Kobayashi, Yuji; Nakasuji, Yasuo; Takahasi, Sin-Ei; Tsukada, Makoto 3 2015 Segal algebras in commutative Banach algebras. Zbl 1319.46040Inoue, Jyunji; Takahasi, Sin-Ei 3 2014 Stability of the Banach space valued Chebyshev differential equation. Zbl 1257.34043Miura, Takeshi; Takahasi, Sin-Ei; Hayata, Takahiro; Tanahashi, Kotaro 3 2012 On a Hyers-Ulam-Aoki-Rassias type stability and a fixed point theorem. Zbl 1209.39006Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki 3 2010 Hyers-Ulam stability of the first order linear differential equation for Banach space-valued holomorphic mappings. Zbl 1143.34059Miura, Takeshi; Oka, Hirokazu; Takahasi, Sin-Ei; Niwa, Norio 3 2007 Continuously differentiable means. Zbl 1133.26323Fujii, Jun Ichi; Fujii, Masatoshi; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 3 2006 Cooper’s approach to chaotic operator means. Zbl 1117.47013Fujii, Jun Ichi; Nakamura, Masahiro; Takahasi, Sin-Ei 3 2006 Stability of multipliers on Banach algebras. Zbl 1085.47048Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 3 2004 Commutative Banach algebras and BSE-norm. Zbl 0897.46044Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô 3 1997 Korovkin’s theorems for C*-algebras. Zbl 0428.41014Takahasi, Sin-ei 3 1979 Classification of three-dimensional zeropotent algebras over the real number field. Zbl 1414.17002Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji 2 2018 Semigroup operations distributed by the ordinary multiplication or addition on the real numbers. Zbl 1413.22003Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Oka, Hirokazu 2 2017 Classification of continuous fractional binary operations on the real and complex fields. Zbl 1364.30005Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji 2 2015 Commutative semigroup operations on \(R^2\) compatible with the ordinary additive operation. Zbl 1327.22002Anbe, Seiji; Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi 2 2015 A reconsideration of Jensen’s inequality and its applications. Zbl 1285.39009Nakasuji, Yasuo; Takahasi, Sin-Ei 2 2013 Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei 2 2012 A new interpretation of Jensen’s inequality and geometric properties of \(\phi\)-means. Zbl 1275.26054Nakasuji, Yasuo; Kumahara, Keisaku; Takahasi, Sin-Ei 2 2011 A reconsideration of Hua’s inequality. II. Zbl 1133.26312Takagi, Hiroyuki; Miura, Takeshi; Hayata, Takahiro; Takahasi, Sin-Ei 2 2006 Convex sets and inequalities. Zbl 1081.26019Takahasi, Sin-Ei; Takahashi, Yasuji; Miyajima, Shizuo; Takagi, Hiroyuki 2 2005 A reconsideration of Hua’s inequality. Zbl 1081.26018Takagi, Hiroyuki; Miura, Takeshi; Kanzo, Tadashi; Takahasi, Sin-Ei 2 2005 A new interpretation of Djoković’s inequality. Zbl 0978.26008Takahasi, Sin-ei; Takahashi, Yasuji; Honda, Aoi 2 2000 An extension of Hlawka’s inequality. Zbl 0949.26012Takahasi, Sin-Ei; Takahashi, Yasuji; Wada, Shuhei 2 2000 A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050Takahasi, Sin-Ei; Hatori, Osamu 2 1999 The best possibility of the bound for the Kantorovich inequality and some remarks. Zbl 0934.26010Tsukada, M.; Takahasi, Sin-Ei 2 1997 Bohman-Korovkin-Wulbert operators on \(C[0,1]\) for \(\{1,x,x^2,x^3,x^4\}\). Zbl 0956.41501Takahasi, Sin-ei 2 1990 Quasi-centrality of Banach algebras and approximate identity. Zbl 0522.46032Takahasi, Sin-ei 2 1983 Characterization of distributive semigroup operations on the positive real numbers. Zbl 1440.22005Takahasi, Sin-Ei; Miura, Takeshi; Oka, Hirokazu 1 2020 A construction of a BSE-algebra of type I which is isomorphic to no \( C^\ast\)-algebras. Zbl 1395.46035Inoue, Jyunji; Takahasi, Sin-Ei 1 2017 Ulam type stability problems for alternative homomorphisms. Zbl 1372.39033Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi; Takagi, Hiroyuki; Tanahashi, Kotaro 1 2014 A characterization of the stability of a system of the Banach space valued differential equations. Zbl 1288.34055Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro 1 2013 Stability problems for generalized additive mappings and Euler-Lagrange type mappings. Zbl 1245.39020Todoroki, M.; Kumahara, K.; Miura, T.; Takahasi, S.-E. 1 2012 A note on the stability of an integral equation. Zbl 1248.45008Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro 1 2011 A general Hlawka inequality and its reverse inequality. Zbl 1177.26050Takahashi, Yasuji; Takahasi, Sin-Ei; Wada, Shuhei 1 2009 A Cauchy-Euler type factorization of operators. Zbl 1181.47015Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi; Takagi, Hiroyuki 1 2008 A perturbation of normal operators on a Hilbert space. Zbl 1162.47022Miura, Takeshi; Uchiyama, Atsushi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei; Niwa, Norio 1 2008 On Wirtinger’s inequality and its elementary proof. Zbl 1171.26333Takahasi, Sin-Ei; Miura, Takeshi; Hayata, Takahiro 1 2007 On the structure of the solution set of a third kind boundary value problem. Zbl 1048.34039Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi 1 2003 Inequalities of Furuta and Mond-Pečarić on the Hadamard product. Zbl 0969.47016Seo, Yuki; Takahasi, Sin-Ei; Pečarić, Josip; Mićić, Jadranka 1 2000 An inverse type of Jensen’s inequality. Zbl 0934.26006Takahasi, Sin-Ei; Tsukada, Makoto; Tanahashi, Kôtarô; Ogiwara, Toshiko 1 1999 BKW-operators on the interval and the sequence spaces. Zbl 0861.41015Izuchi, Keiji; Takahasi, Sin-Ei 1 1996 A note on finite codimensional linear isometries of \(C(X)\) into \(C(Y)\). Zbl 0844.46008Takahasi, Sin-Ei; Okayasu, Takateru 1 1995 A note on the largest regular subalgebra of a Banach algebra. Zbl 0806.46052Inoue, Jyunji; Takahasi, Sin-Ei 1 1992 A spectral mapping theorem for some representation of compact abelian groups. Zbl 0738.46025Takahasi, Sin-Ei; Inoue, Jyunji 1 1992 Korovkin type theorem on \(C[0,1]\). Zbl 0939.41519Takahasi, Sin-ei 1 1990 The Arens product and quasi-multipliers. Zbl 0608.46026Vasudevan, R.; Goel, Satya; Takahasi, S. 1 1985 Equivalent conditions for the general Stone-Weierstrass problem. Zbl 0579.46040Fujimoto, Ichiro; Takahasi, Sin-Ei 1 1985 Finite dimensionality in socle of Banach algebras. Zbl 0581.46043Takahasi, Sin-Ei 1 1984 An extension of Müntz-Szasz theorem and Hwang-Pan-Wu theorem. Zbl 0451.42020Takahasi, Sin-ei 1 1980 Dixmier’s representation theorem of central double centralizers on Banach algebras. Zbl 0423.46036Takahasi, Sin-Ei 1 1979 Characterization of distributive semigroup operations on the positive real numbers. Zbl 1440.22005Takahasi, Sin-Ei; Miura, Takeshi; Oka, Hirokazu 1 2020 Classification of three-dimensional zeropotent algebras over the real number field. Zbl 1414.17002Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji 2 2018 Classification of three-dimensional zeropotent algebras over an algebraically closed field. Zbl 1414.17001Kobayashi, Yuji; Shirayanagi, Kiyoshi; Takahasi, Sin-Ei; Tsukada, Makoto 5 2017 Semigroup operations distributed by the ordinary multiplication or addition on the real numbers. Zbl 1413.22003Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Oka, Hirokazu 2 2017 A construction of a BSE-algebra of type I which is isomorphic to no \( C^\ast\)-algebras. Zbl 1395.46035Inoue, Jyunji; Takahasi, Sin-Ei 1 2017 Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands. Zbl 1321.22005Kobayashi, Yuji; Nakasuji, Yasuo; Takahasi, Sin-Ei; Tsukada, Makoto 3 2015 Classification of continuous fractional binary operations on the real and complex fields. Zbl 1364.30005Takahasi, Sin-Ei; Tsukada, Makoto; Kobayashi, Yuji 2 2015 Commutative semigroup operations on \(R^2\) compatible with the ordinary additive operation. Zbl 1327.22002Anbe, Seiji; Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi 2 2015 Real-linear isometries between subspaces of continuous functions. Zbl 1328.46018Koshimizu, Hironao; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 17 2014 Segal algebras in commutative Banach algebras. Zbl 1319.46040Inoue, Jyunji; Takahasi, Sin-Ei 3 2014 Ulam type stability problems for alternative homomorphisms. Zbl 1372.39033Takahasi, Sin-Ei; Tsukada, Makoto; Miura, Takeshi; Takagi, Hiroyuki; Tanahashi, Kotaro 1 2014 A reconsideration of Jensen’s inequality and its applications. Zbl 1285.39009Nakasuji, Yasuo; Takahasi, Sin-Ei 2 2013 A characterization of the stability of a system of the Banach space valued differential equations. Zbl 1288.34055Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro 1 2013 Characterization of a generalized triangle inequality in normed spaces. Zbl 1242.46029Dadipour, Farzad; Moslehian, Mohammad Sal; Rassias, John M.; Takahasi, Sin-Ei 9 2012 Stability of the Banach space valued Chebyshev differential equation. Zbl 1257.34043Miura, Takeshi; Takahasi, Sin-Ei; Hayata, Takahiro; Tanahashi, Kotaro 3 2012 Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei 2 2012 Stability problems for generalized additive mappings and Euler-Lagrange type mappings. Zbl 1245.39020Todoroki, M.; Kumahara, K.; Miura, T.; Takahasi, S.-E. 1 2012 A new interpretation of Jensen’s inequality and geometric properties of \(\phi\)-means. Zbl 1275.26054Nakasuji, Yasuo; Kumahara, Keisaku; Takahasi, Sin-Ei 2 2011 A note on the stability of an integral equation. Zbl 1248.45008Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei; Hayata, Takahiro 1 2011 Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji 4 2010 On a Hyers-Ulam-Aoki-Rassias type stability and a fixed point theorem. Zbl 1209.39006Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki 3 2010 A general Hlawka inequality and its reverse inequality. Zbl 1177.26050Takahashi, Yasuji; Takahasi, Sin-Ei; Wada, Shuhei 1 2009 A Cauchy-Euler type factorization of operators. Zbl 1181.47015Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi; Takagi, Hiroyuki 1 2008 A perturbation of normal operators on a Hilbert space. Zbl 1162.47022Miura, Takeshi; Uchiyama, Atsushi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei; Niwa, Norio 1 2008 On characterizations of the image of the Gelfand transform of commutative Banach algebras. Zbl 1116.46037Inoue, Jyunji; Takahasi, Sin-Ei 7 2007 Exponential type functional equation and its Hyers-Ulam stability. Zbl 1154.39304Takahasi, Sin-Ei; Miura, Takeshi; Takagi, Hiroyuki 5 2007 Superstability of multipliers and ring derivations on Banach algebras. Zbl 1129.46040Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei 5 2007 Hyers-Ulam stability of the first order linear differential equation for Banach space-valued holomorphic mappings. Zbl 1143.34059Miura, Takeshi; Oka, Hirokazu; Takahasi, Sin-Ei; Niwa, Norio 3 2007 On Wirtinger’s inequality and its elementary proof. Zbl 1171.26333Takahasi, Sin-Ei; Miura, Takeshi; Hayata, Takahiro 1 2007 A perturbation of ring derivations on Banach algebras. Zbl 1104.39025Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 27 2006 On convergence of a recursive sequence \(x_{n+1}= f(x_{n-1},x_n)\). Zbl 1100.39001Takahasi, Sin-Ei; Miura, Yasuhide; Miura, Takeshi 16 2006 Continuously differentiable means. Zbl 1133.26323Fujii, Jun Ichi; Fujii, Masatoshi; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 3 2006 Cooper’s approach to chaotic operator means. Zbl 1117.47013Fujii, Jun Ichi; Nakamura, Masahiro; Takahasi, Sin-Ei 3 2006 A reconsideration of Hua’s inequality. II. Zbl 1133.26312Takagi, Hiroyuki; Miura, Takeshi; Hayata, Takahiro; Takahasi, Sin-Ei 2 2006 Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras. Zbl 1104.39026Miura, Takeshi; Takahasi, Sin-Ei; Hirasawa, Go 13 2005 Convex sets and inequalities. Zbl 1081.26019Takahasi, Sin-Ei; Takahashi, Yasuji; Miyajima, Shizuo; Takagi, Hiroyuki 2 2005 A reconsideration of Hua’s inequality. Zbl 1081.26018Takagi, Hiroyuki; Miura, Takeshi; Kanzo, Tadashi; Takahasi, Sin-Ei 2 2005 The Hyers–Ulam stability constants of first order linear differential operators. Zbl 1074.47022Takahasi, Sin-Ei; Takagi, Hiroyuki; Miura, Takeshi; Miyajima, Shizuo 35 2004 Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations \(y'=\lambda y\). Zbl 1069.34079Miura, Takeshi; Jung, Soon-Mo; Takahasi, Sin-Ei 32 2004 On the best constant of Hyers-Ulam stability. Zbl 1079.39025Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei 18 2004 Ger-type and Hyers–Ulam stabilities for the first-order linear differential operators of entire functions. Zbl 1079.47050Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 4 2004 Stability of multipliers on Banach algebras. Zbl 1085.47048Miura, Takeshi; Hirasawa, Go; Takahasi, Sin-Ei 3 2004 A characterization of Hyers-Ulam stability of first order linear differential operators. Zbl 1045.47037Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei 81 2003 Hyers-Ulam stability of linear differential operator with constant coefficients. Zbl 1039.34054Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei 54 2003 Essential norms and stability constants of weighted composition operators on \(C(X)\). Zbl 1060.47033Takagi, Hiroyuki; Miura, Takeshi; Takahasi, Sin-Ei 17 2003 On the structure of the solution set of a third kind boundary value problem. Zbl 1048.34039Takahasi, Sin-Ei; Oka, Hirokazu; Miura, Takeshi 1 2003 On the Hyers-Ulam stability of the Banach space-valued differential equation \(y'=\lambda y\). Zbl 1011.34046Takahasi, Sin-Ei; Miura, Takeshi; Miyajima, Shizuo 92 2002 Norm equality condition in triangular inequality. Zbl 1031.46059Nakamoto, Ritsuo; Takahasi, Sin-Ei 4 2002 On the Hyers-Ulam stability of real continuous function valued differentiable map. Zbl 1002.39039Miura, Takeshi; Takahasi, Sin-ei; Choda, Hisashi 28 2001 Constructions of bounded weak approximate identities for Segal algebras on LCA groups. Zbl 0980.46038Inoue, Jyunji; Takahasi, Sin-Ei 6 2000 A new interpretation of Djoković’s inequality. Zbl 0978.26008Takahasi, Sin-ei; Takahashi, Yasuji; Honda, Aoi 2 2000 An extension of Hlawka’s inequality. Zbl 0949.26012Takahasi, Sin-Ei; Takahashi, Yasuji; Wada, Shuhei 2 2000 Inequalities of Furuta and Mond-Pečarić on the Hadamard product. Zbl 0969.47016Seo, Yuki; Takahasi, Sin-Ei; Pečarić, Josip; Mićić, Jadranka 1 2000 Inequalities of Furuta and Mond-Pečarić. Zbl 0924.47013Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru 13 1999 A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050Takahasi, Sin-Ei; Hatori, Osamu 2 1999 An inverse type of Jensen’s inequality. Zbl 0934.26006Takahasi, Sin-Ei; Tsukada, Makoto; Tanahashi, Kôtarô; Ogiwara, Toshiko 1 1999 A refinement of various mean inequalities. Zbl 0917.26017Hara, Takuya; Uchiyama, Mitsuru; Takahasi, Sin-Ei 15 1998 Operator inequalities and covariance in noncommutative probability. Zbl 0902.47014Fujii, Masatoshi; Furuta, Takayuki; Nakamoto, Ritsuo; Takahasi, Sin-Ei 6 1997 Commutative Banach algebras and BSE-norm. Zbl 0897.46044Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô 3 1997 The best possibility of the bound for the Kantorovich inequality and some remarks. Zbl 0934.26010Tsukada, M.; Takahasi, Sin-Ei 2 1997 BKW-operators on the interval and the sequence spaces. Zbl 0861.41015Izuchi, Keiji; Takahasi, Sin-Ei 1 1996 \((T,E)\)-Korovkin closures in normed spaces and BKW-operators. Zbl 0865.47008Takahasi, Sin-Ei 4 1995 A note on finite codimensional linear isometries of \(C(X)\) into \(C(Y)\). Zbl 0844.46008Takahasi, Sin-Ei; Okayasu, Takateru 1 1995 Bohman-Korovkin-Wulpert operators on normed spaces. Zbl 0778.41008Takahasi, Sin-Ei 4 1993 Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040Takahasi, Sin-Ei; Hatori, Osamu 8 1992 A note on the largest regular subalgebra of a Banach algebra. Zbl 0806.46052Inoue, Jyunji; Takahasi, Sin-Ei 1 1992 A spectral mapping theorem for some representation of compact abelian groups. Zbl 0738.46025Takahasi, Sin-Ei; Inoue, Jyunji 1 1992 Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025Takahasi, Sin-Ei; Hatori, Osamu 18 1990 Bohman-Korovkin-Wulbert operators on \(C[0,1]\) for \(\{1,x,x^2,x^3,x^4\}\). Zbl 0956.41501Takahasi, Sin-ei 2 1990 Korovkin type theorem on \(C[0,1]\). Zbl 0939.41519Takahasi, Sin-ei 1 1990 The Arens product and quasi-multipliers. Zbl 0608.46026Vasudevan, R.; Goel, Satya; Takahasi, S. 1 1985 Equivalent conditions for the general Stone-Weierstrass problem. Zbl 0579.46040Fujimoto, Ichiro; Takahasi, Sin-Ei 1 1985 Finite dimensionality in socle of Banach algebras. Zbl 0581.46043Takahasi, Sin-Ei 1 1984 Quasi-centrality of Banach algebras and approximate identity. Zbl 0522.46032Takahasi, Sin-ei 2 1983 An extension of Müntz-Szasz theorem and Hwang-Pan-Wu theorem. Zbl 0451.42020Takahasi, Sin-ei 1 1980 Korovkin’s theorems for C*-algebras. Zbl 0428.41014Takahasi, Sin-ei 3 1979 Dixmier’s representation theorem of central double centralizers on Banach algebras. Zbl 0423.46036Takahasi, Sin-Ei 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 343 Authors 38 Jung, Soon-Mo 24 Takahasi, Sin-Ei 17 Eshaghi Gordji, Madjid 17 Popa, Dorian 15 Miura, Takeshi 13 Stević, Stevo 10 Li, Yongjin 10 Park, Choonkil 10 Zada, Akbar 9 Brzdęk, Janusz 9 Rasa, Ioan 9 Roh, Jaiok 9 Shen, Yonghong 9 Wang, Jinrong 8 Onitsuka, Masakazu 7 Chang, Ick-Soon 7 Dragomir, Sever Silvestru 7 Rassias, Themistocles Michael 7 Takagi, Hiroyuki 6 Alizadeh, Badrkhan 6 Ghaemi, Mohammad Bagher 6 Hosseini, Maliheh 6 Kamali, Zeinab 6 Moslehian, Mohammad Sal 6 Pečarić, Josip 6 Sady, Fereshteh 5 Ciepliński, Krzysztof 5 Jamshidi, Arya 5 Kobayashi, Yuji 5 Mićić, Jadranka 5 Rassias, John Michael 5 Tsukada, Makoto 4 Arambašić, Ljiljana 4 Baias, Alina-Ramona 4 Font, Juan J. 4 Inoue, Jyunji 4 Jung, Yong-Soo 4 Kawamura, Kazuhiro 4 Li, XueZhu 4 Zhou, Yong 3 Anderson, Douglas Robert 3 Bami, Mahmood Lashkarizadeh 3 Cădariu, Liviu I. 3 Chen, Wei 3 Chu, Yuming 3 Ebadian, Ali 3 Eghbali, Nasrin 3 Fechner, Włodzimierz 3 Fečkan, Michal 3 Fošner, Ajda 3 Fukutaka, Ryuma 3 Hatori, Osamu 3 Izumida, Tamotsu 3 Khodaei, Hamid 3 Lau, Anthony To-Ming 3 Min, Seungwook 3 Najati, Abbas 3 Oka, Hirokazu 3 Rajić, Rajna 3 Seo, Yuki 3 Shah, Kamal 3 Ulger, Ali 3 Wei, Guiwu 2 Abdollahpour, Mohammad Reza 2 Abtahi, Fatemeh 2 Agarwal, Ravi P. 2 Ali, Wajid 2 Alinejad, Ahmad 2 Ansari-Piri, Esmaeil 2 Choi, Ginkyu 2 Cîmpean, Dalia Sabina 2 Dabhi, Prakash A. 2 Dadipour, Farzad 2 Faisal, Shah 2 Fozouni, Mohammad 2 Fujii, Jun Ichi 2 Gao, Hui 2 Ghobadipour, Norouz 2 Hayata, Takahiro 2 Hiai, Fumio 2 Huang, Jinghao 2 Iričanin, Bratislav D. 2 Izuchi, Keiji 2 Kaboli-Gharetapeh, S. 2 Kaĭgorodov, Ivan B. 2 Kalvandi, Vida 2 Kang, Sheon-Young 2 Kaniuth, Eberhard 2 Khan, Rahmat Ali 2 Kim, Byungbae 2 Kim, Hark-Mahn 2 Leśniak, Zbigniew 2 Li, Tongxing 2 Minculete, Nicusor 2 Mitani, Ken-Ichi 2 Miyajima, Shizuo 2 Nakasuji, Yasuo 2 Oubbi, Lahbib 2 Petz, Dénes 2 Rezaei, Hamid ...and 243 more Authors 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. 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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) Citations by Year