The arithmetic-geometric mean inequality from the integral of $1/t$
Kuniya Ibaragi, Yusuke Nishizawa, Noriyuki Ohira
Aust.J.Math.Anal.Appl., Volume：21, Number：2, First page：1, Last page：4, Nov. 2024, [Reviewed]
English, Scientific journal
Approximations by the fractional function of the sum of two functions converging to $e$
Misuzu Aoki, Yusuke Nishizawa, Rukiya Suzuki, Gohki Takamori
Appl.Math.E-Notes, Volume：24, First page：19, Last page：26, Mar. 2024, [Reviewed]
English, Scientific journal
Boundness of the power exponential function $a^{2b} +b^{2a}$
Yusuke Nishizawa; Yukuhito Yasuda
Aust.J.Math.Anal.Appl., Volume：21, Number：1, First page：1, Last page：13, Feb. 2024, [Reviewed]
English, Scientific journal
Sharp inequalities of Iyengar-Madhava Rao-Nanjundiah type including $cos(x/√3 + ax^r)$ Keisuke Murata; Ryota Nakagawa; Yusuke Nishizawa; Atsuya Sakamoto
Journal of Mathematical Inequalities,
Volume：17,
Number：2,
First page：671,
Last page：681, Nov. 2023,
[Reviewed]Element d.o.o., English, Scientific journal
DOI：https://doi.org/10.7153/jmi-2023-17-44DOI ID：10.7153/jmi-2023-17-44,
ISSN：1846-579X Some inequalities related to the power exponential function $a^{rb} +b^{ra}$
Mehdi Hassani; Yusuke Nishizawa
Appl.Math.E-Notes, Volume：23, First page：237, Last page：242, Oct. 2023, [Reviewed]
English, Scientific journal
The arithmetic-geometric mean inequality resulting from the function containing $e^x$ and $x^e$,
Yu Konaga; Yusuke Nishizawa; Ryuji Saito; Riki Sato
J.Inequal.Spec.Funct., Volume：14, Number：3, First page：1, Last page：6, Aug. 2023, [Reviewed]
English, Scientific journal
Sharped Jordan's type inequalities with exponential approximations Nachi Kasuga, Mai Nakasuji, Yusuke Nishizawa, Takuma Sekine
Journal of Mathematical Inequalities,
Volume：17,
Number：4,
First page：1539,
Last page：1550, Feb. 2023,
[Reviewed]Element d.o.o., English, Scientific journal
DOI：https://doi.org/10.7153/jmi-2023-17-101DOI ID：10.7153/jmi-2023-17-101,
ISSN：1846-579X A simple proof of Iv\'{a}dy double inequality
Naoki Kobayashi, Yusuke Nishizawa, Kenshiroh Okazaki
J.Inequal.Spec.Funct., Volume：14, Number：1, First page：16, Last page：20, Feb. 2023, [Reviewed]
English, Scientific journal
Some inequalities for the hyperbolic tangent related $\sqrt{1-exp\left( -\frac{x^2},{\left(1 +x^2 \right)^p} \right)}$
Fuuya Araki; Yuichiro Matsui; Hiroki Nakajima; Yusuke Nishizawa
J.Inequal.Spec.Funct., Volume：13, Number：3, First page：1, Last page：9, Aug. 2022, [Reviewed]
English, Scientific journal
Three inequalities associated with Rado inequality
Rin Miyao; Yusuke Nishizawa; Keigo Takamura
Aust.J.Math.Anal.Appl., Volume：19, Number：1, First page：1, Last page：8, Apr. 2022, [Reviewed]
English, Scientific journal
Refinements of Arithmetic mean-Geometric mean inequality associated with the number $e$
Mehdi Hassani; Valmir Krasniqi; Yusuke Nishizawa
J.Inequal.Spec.Funct., Volume：12, Number：2, First page：23, Last page：35, Mar. 2021, [Reviewed]
English, Scientific journal
Rational expressions of arithmetic and geometric means for the sequence $(n^p)_{n\in \mathbb{N } }$ and the geometric progression
Miu Kinegawa; Sayaka Miyamoto; Yusuke Nishizawa
Aust.J.Math.Anal.Appl., Volume：18, Number：1, First page：1, Last page：7, Mar. 2021, [Reviewed]
English, Scientific journal
The best possible constants of the inequalities with power exponential functionsYusuke Nishizawa
Indian Journal of Pure and Applied Mathematics,
Volume：51,
Number：4,
First page：1761,
Last page：1768, 2020,
[Reviewed]Springer Science and Business Media LLC, English, Scientific journal
DOI：https://doi.org/10.1007/s13226-020-0495-4DOI ID：10.1007/s13226-020-0495-4,
ISSN：0019-5588,
eISSN：0975-7465 A lower bound of the power exponential function
Yusuke Nishizawa
J.Class.Anal., Volume：15, Number：1, First page：1, Last page：8, Jan. 2020, [Reviewed]
English, Scientific journal
数学科目におけるWebclassを用いたCBTの実施
石田弘隆; 西澤由輔
Number：64, First page：19, Last page：25, Mar. 2018, [Reviewed]
Japanese, Research institution
Extended a constant part of Redheffer's type inequalitiesYusuke Nishizawa
Tamkang Journal of Mathematics,
Volume：49,
Number：1,
First page：79,
Last page：83, 2018,
[Reviewed]J-L. Li and Y-L. Li \cite{LL2007} gave the following Redheffer's type inequality; \begin{equation*} \frac{ 1 -\left( \frac{x},{\pi} \right)^2 },{ \sqrt{1 + 3 \left( \frac{x},{\pi} \right)^4 } } > \frac{\sin{x } },{x} \end{equation*} holds for $0 < x < \pi$, where the constant $3$ is the best possible. In this paper, we establish two inequalities extended the constant part of the above inequality.
Tamkang Journal of Mathematics, English, Scientific journal
DOI：https://doi.org/10.5556/j.tkjm.49.2018.2505DOI ID：10.5556/j.tkjm.49.2018.2505,
ISSN：0049-2930,
eISSN：2073-9826 Symmetric inequalities with power-exponential functions Yusuke Nishizawa
Indian Journal of Pure and Applied Mathematics,
Volume：48,
Number：3,
First page：335,
Last page：344, 2017,
[Reviewed]Springer Science and Business Media LLC, English, Scientific journal
DOI：https://doi.org/10.1007/s13226-017-0230-yDOI ID：10.1007/s13226-017-0230-y,
ISSN：0019-5588,
eISSN：0975-7465,
Web of Science ID：WOS:000409887600003 Refined quadratic estimations of Shafer’s inequality Yusuke Nishizawa
Journal of Inequalities and Applications,
Volume：2017,
Number：1, 2017,
[Reviewed]Springer Science and Business Media LLC, English, Scientific journal
DOI：https://doi.org/10.1186/s13660-017-1312-4DOI ID：10.1186/s13660-017-1312-4,
ISSN：1029-242X,
eISSN：1029-242X,
Web of Science ID：WOS:000394848600001 Double inequalities derived from the arithmetic-geometric-harmonic mean inequalities with power exponential functions
Yusuke nishizawa
Research reports of National Institute of Technology,Ube College, Number：62, First page：9, Last page：16, Mar. 2016, [Reviewed]
English, Research institution
Sharp exponential approximate inequalities for trigonometric functions Yusuke Nishizawa
Results in Mathematics,
Volume：71,
Number：3-4,
First page：609,
Last page：621, 2016,
[Reviewed]Springer Science and Business Media LLC, English, Scientific journal
DOI：https://doi.org/10.1007/s00025-016-0566-3DOI ID：10.1007/s00025-016-0566-3,
ISSN：1422-6383,
eISSN：1420-9012,
Web of Science ID：WOS:000401007300004 Extended constant parts of Becker-Stark's and Shafer-Fink's inequalitiesYusuke Nishizawa
Tamkang Journal of Mathematics,
Volume：47,
Number：4,
First page：385,
Last page：391, 2016,
[Reviewed]In this paper, we give some inequalities which are extended constant parts of Becker-Stark's and Shafer-Fink's inequality.
Tamkang Journal of Mathematics, English, Scientific journal
DOI：https://doi.org/10.5556/j.tkjm.47.2016.2024DOI ID：10.5556/j.tkjm.47.2016.2024,
ISSN：0049-2930,
eISSN：2073-9826,
SCOPUS ID：84998546929 A stronger inequality of Cîrtoaje's one with power exponential functions Mitsuhiro Miyagi; Yusuke Nishizawa
Journal of Nonlinear Sciences and Applications,
Volume：8,
Number：3,
First page：224,
Last page：230, 2016,
[Reviewed]International Scientific Research Publications MY SDN. BHD., English, Scientific journal
DOI：https://doi.org/10.22436/jnsa.008.03.06DOI ID：10.22436/jnsa.008.03.06,
ISSN：2008-1898,
eISSN：2008-1901,
Web of Science ID：WOS:000352726900006 An elementary proof of some inequality derived from the function $(b^{x} -a^{x})/x$
Yusuke Nishizawa; Mitsuhiro Miyagi
Research reports of National Institute of Technology, Ube College, Number：61, First page：41, Last page：44, Mar. 2015, [Reviewed]
English, Research institution
Sharp Becker-Stark’s type inequalities with power exponential functions Yusuke Nishizawa
Journal of Inequalities and Applications,
Volume：2015,
Number：1, 2015,
[Reviewed]Springer Science and Business Media LLC, English, Scientific journal
DOI：https://doi.org/10.1186/s13660-015-0932-9DOI ID：10.1186/s13660-015-0932-9,
ISSN：1029-242X,
eISSN：1029-242X,
Web of Science ID：WOS:000366831900001 Extension of an inequality with power exponential functionsMitsuhiro Miyagi; Yusuke Nishizawa
Tamkang Journal of Mathematics,
Volume：46,
Number：4,
First page：427,
Last page：433, 2015,
[Reviewed]V.\ C\^\i rtoaje et al. \cite{C2009} conjectured and proved \cite{C2011, M2009} that the inequality $a^{rb} + b^{ra} \leq 2$ holds for all nonnegative numbers $r \leq 3$ and nonnegative real numbers $a, b$ with $a +b=2$. In this paper, we will show that $a^{rb} + b^{ra} \leq 2$ holds for all nonnegative $r\geq 3$ and all nonnegative real numbers $a, b$ with $a +b =2$ and some conditions. This gives an extended inequality of conjectured by V.\ C\^\i rtoaje.
Tamkang Journal of Mathematics, English, Scientific journal
DOI：https://doi.org/10.5556/j.tkjm.46.2015.1831DOI ID：10.5556/j.tkjm.46.2015.1831,
ISSN：0049-2930,
eISSN：2073-9826,
SCOPUS ID：84948747630 Extended constant parts of wilker types and cusa-huygens types inequalities Yusuke Nishizawa
Far East J.Math.Sci.,
Volume：98,
Number：5,
First page：579,
Last page：598, 2015,
[Reviewed]In this paper, we give some inequalities which are extended constant parts of Wilker types and Cusa-Huygens types inequalities.
Pushpa Publishing House, English, Scientific journal
DOI：https://doi.org/10.17654/FJMSNov2015_579_598DOI ID：10.17654/FJMSNov2015_579_598,
ISSN：0972-0871,
SCOPUS ID：84943766638 Sharpening of Jordan’s type and Shafer–Fink’s type inequalities with exponential approximations Yusuke Nishizawa
Applied Mathematics and Computation,
Volume：269,
First page：146,
Last page：154, 2015,
[Reviewed]Elsevier BV, English, Scientific journal
DOI：https://doi.org/10.1016/j.amc.2015.07.041DOI ID：10.1016/j.amc.2015.07.041,
ISSN：0096-3003,
eISSN：1873-5649,
Web of Science ID：WOS:000361771500015 A short proof of an open inequality with power-exponential functions
Mitsuhiro Miyagi; Yusuke Nishizawa
Aust.J.Math.Anal.Appl., Volume：11, Number：1, First page：1, Last page：3, 2014, [Reviewed]
English, Scientific journal
Heterodimensional tangencies leading to hyperbolic sets and wild hyperbolic strange attractors
Yusuke Nishizawa
RIMS Kokyuroku, Number：1768, First page：38, Last page：54, Oct. 2011
Japanese, Research institution
一次元極限葉層構造をもつ3次元$C^1$微分同相写像の力学系について,
Yusuke Nishizawa
Hokkaidou University Technical Report Series in Mathematics, Number：148, First page：35, Last page：42, Feb. 2011
Japanese, Symposium
オイラーの多面体定理に基づいた数学の教材開発について‐コンピュータ・情報機器を用いた授業を通して‐
三田満男; 西澤由輔; 佐藤宏平
Number：4, First page：17, Last page：29, 2011, [Reviewed]
Japanese, Research institution
Simultaneous point bifurcations and bubbles for two parameter family of cubic polynomials
Eiichi Mitsukura; Yusuke Nishizawa
Far East J.Dynam.Syst., Volume：15, Number：2, First page：67, Last page：82, 2011, [Reviewed]
English, Scientific journal
Heterodimenional tangencies から導き出されるstrange attractorsと$C^{1}$-robust homoclinic tangenciesについて
Yusuke Nishizawa
RIMS Kokyuroku, Number：1688, First page：164, Last page：174, May 2010
Japanese, Research institution
Heterodimensional tangency and hyperbolic sets
Yusuke Nishizawa
Hokkaidou University Technical Report Series in Mathematics, Number：142, First page：220, Last page：227, Feb. 2010
Japanese, Symposium
高校生に対する現代数学の導入の一例‐カオス，フラクタルとはなにか？‐
三田満男; 西澤由輔
Number：3, First page：47, Last page：60, 2010, [Reviewed]
Heterodimensional tangencies on cycles leading to strange attractors Shin Kiriki; Yusuke Nishizawa; Teruhiko Soma
Discrete Contin.Dyn.Syst.,
Volume：27,
Number：1,
First page：285,
Last page：300, 2010,
[Reviewed]American Institute of Mathematical Sciences (AIMS), English, Scientific journal
DOI：https://doi.org/10.3934/dcds.2010.27.285DOI ID：10.3934/dcds.2010.27.285,
ISSN：1553-5231,
Web of Science ID：WOS:000274261300014 Heterodimenional tangencies on cycle leading to strange attractors
Yusuke Nishizawa
Hokkaidou University Technical Report Series in Mathematics, Number：140, First page：61, Last page：65, Feb. 2009
Japanese, Symposium
Existence of horseshoe sets with nondegenerate one-sided homoclinic tangencies in ${\mathbb R}^{3}$ Yusuke Nishizawa
Hokkaido Mathematical Journal,
Volume：37,
Number：1,
First page：133,
Last page：145, 2008,
[Reviewed]Department of Mathematics, Hokkaido University, English, Scientific journal
DOI：https://doi.org/10.14492/hokmj/1253539582DOI ID：10.14492/hokmj/1253539582,
ISSN：0385-4035,
SCOPUS ID：85035261976
