Bouzeffour, Fethi; Jedidi, Wissem Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. (English) Zbl 07788060 Integral Transforms Spec. Funct. 35, No. 1, 49-60 (2024). MSC: 26A33 42A38 33C67 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{W. Jedidi}, Integral Transforms Spec. Funct. 35, No. 1, 49--60 (2024; Zbl 07788060) Full Text: DOI
Chen, Rizeng; Li, Haokun; Xia, Bican; Zhao, Tianqi; Zheng, Tao Isolating all the real roots of a mixed trigonometric-polynomial. (English) Zbl 07740058 J. Symb. Comput. 121, Article ID 102250, 33 p. (2024). MSC: 26Dxx 68Wxx 65Hxx PDFBibTeX XMLCite \textit{R. Chen} et al., J. Symb. Comput. 121, Article ID 102250, 33 p. (2024; Zbl 07740058) Full Text: DOI arXiv
Khandani, Hassan New algorithms to estimate the real roots of differentiable functions and polynomials on a closed finite interval. (English) Zbl 07814827 J. Math. Model. 11, No. 4, 631-647 (2023). MSC: 26A18 49M15 65-02 PDFBibTeX XMLCite \textit{H. Khandani}, J. Math. Model. 11, No. 4, 631--647 (2023; Zbl 07814827) Full Text: DOI
Mejjaoli, Hatem Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform. (English) Zbl 07798741 Rev. Unión Mat. Argent. 65, No. 2, 375-423 (2023). MSC: 42B10 26D10 43A15 43A32 44A15 33C52 PDFBibTeX XMLCite \textit{H. Mejjaoli}, Rev. Unión Mat. Argent. 65, No. 2, 375--423 (2023; Zbl 07798741) Full Text: DOI
Barbagallo, María Laura; Jeronimo, Gabriela; Sabia, Juan On the zeros of univariate E-polynomials. (English) Zbl 07769963 Rev. Unión Mat. Argent. 65, No. 1, 33-46 (2023). MSC: 14P15 30C15 26C10 PDFBibTeX XMLCite \textit{M. L. Barbagallo} et al., Rev. Unión Mat. Argent. 65, No. 1, 33--46 (2023; Zbl 07769963) Full Text: DOI
Hachimori, Masahiro; Yamada, Yumi Some computational study of the root distribution of Ehrhart polynomials. (English) Zbl 1523.52021 Int. Game Theory Rev. 25, No. 3, Article ID 2340005, 15 p. (2023). MSC: 52B20 26C10 PDFBibTeX XMLCite \textit{M. Hachimori} and \textit{Y. Yamada}, Int. Game Theory Rev. 25, No. 3, Article ID 2340005, 15 p. (2023; Zbl 1523.52021) Full Text: DOI
Higashitani, Akihiro; Yamada, Yumi The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type \(C\). (English) Zbl 1521.52006 Graphs Comb. 39, No. 4, Paper No. 83, 13 p. (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 26C10 PDFBibTeX XMLCite \textit{A. Higashitani} and \textit{Y. Yamada}, Graphs Comb. 39, No. 4, Paper No. 83, 13 p. (2023; Zbl 1521.52006) Full Text: DOI arXiv
Khandani, Hassan; Khojasteh, Farshid The Krasnoselskii’s method for real differentiable functions. (English) Zbl 07665236 Sahand Commun. Math. Anal. 20, No. 1, 95-106 (2023). MSC: 65-XX 26A18 49M15 PDFBibTeX XMLCite \textit{H. Khandani} and \textit{F. Khojasteh}, Sahand Commun. Math. Anal. 20, No. 1, 95--106 (2023; Zbl 07665236) Full Text: DOI
Litsgård, Malte; Nyström, Kaj On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients. (English) Zbl 1504.35094 J. Evol. Equ. 23, No. 1, Paper No. 3, 33 p. (2023). MSC: 35B45 35B65 35K15 35K20 35R11 26A33 42B25 47D06 PDFBibTeX XMLCite \textit{M. Litsgård} and \textit{K. Nyström}, J. Evol. Equ. 23, No. 1, Paper No. 3, 33 p. (2023; Zbl 1504.35094) Full Text: DOI arXiv
Batts, Laura J.; Moran, Megan E.; Taylor, Courtney K. Extensions of Rolle’s theorem. (English) Zbl 1507.26002 Involve 15, No. 4, 641-648 (2022). MSC: 26A06 26A24 PDFBibTeX XMLCite \textit{L. J. Batts} et al., Involve 15, No. 4, 641--648 (2022; Zbl 1507.26002) Full Text: DOI
Chaiya, Malinee; Chaiya, Somjate A uniform bound for the distance to a root of complex polynomials under Newton’s method. (English) Zbl 1524.26006 Bull. Iran. Math. Soc. 48, No. 6, 3619-3635 (2022). MSC: 26A18 30C15 65H05 PDFBibTeX XMLCite \textit{M. Chaiya} and \textit{S. Chaiya}, Bull. Iran. Math. Soc. 48, No. 6, 3619--3635 (2022; Zbl 1524.26006) Full Text: DOI
Malone, David; Maxwell, Maurice Finding the digits of the roots of a polynomial with Horner’s help. (English) Zbl 1528.12002 Ir. Math. Soc. Bull. 90, 25-28 (2022). MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{D. Malone} and \textit{M. Maxwell}, Ir. Math. Soc. Bull. 90, 25--28 (2022; Zbl 1528.12002) Full Text: DOI
Prodanov, Emil New bounds on the real polynomial roots. (English) Zbl 1513.12003 C. R. Acad. Bulg. Sci. 75, No. 2, 178-186 (2022). Reviewer: Petar Popivanov (Sofia) MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{E. Prodanov}, C. R. Acad. Bulg. Sci. 75, No. 2, 178--186 (2022; Zbl 1513.12003) Full Text: DOI arXiv
Wang, Jianxiong \(L^p\) Hardy’s identities and inequalities for Dunkl operators. (English) Zbl 1505.46034 Adv. Nonlinear Stud. 22, 416-435 (2022). MSC: 46E35 33C52 26D10 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Nonlinear Stud. 22, 416--435 (2022; Zbl 1505.46034) Full Text: DOI
Liu, Liu; Jarczyk, Justyna; Jarczyk, Witold; Zhang, Weinian Iterative roots of type \(\mathcal{T}_2\). (English) Zbl 1498.39025 Discrete Contin. Dyn. Syst. 42, No. 10, 4965-4990 (2022). MSC: 39B12 37E05 26A18 PDFBibTeX XMLCite \textit{L. Liu} et al., Discrete Contin. Dyn. Syst. 42, No. 10, 4965--4990 (2022; Zbl 1498.39025) Full Text: DOI
Tang, Xiao; Li, Lin Characteristic endpoints question for piecewise monotone functions. (Chinese. English summary) Zbl 1513.39055 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 557-569 (2022). MSC: 39B12 37E05 26A18 PDFBibTeX XMLCite \textit{X. Tang} and \textit{L. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 557--569 (2022; Zbl 1513.39055) Full Text: Link
Prodanov, Emil M. The Siebeck-Marden-Northshield theorem and the real roots of the symbolic cubic equation. (English) Zbl 1498.26025 Result. Math. 77, No. 3, Paper No. 126, 16 p. (2022). Reviewer: Armin Rainer (Wien) MSC: 26C10 12D10 PDFBibTeX XMLCite \textit{E. M. Prodanov}, Result. Math. 77, No. 3, Paper No. 126, 16 p. (2022; Zbl 1498.26025) Full Text: DOI arXiv
Liu, Liu; Yu, Zhiheng; Zeng, Yingying; Zhang, Weinian Non-monotonicity and smoothness of iterative roots of one-dimensional mapping. (Chinese. English summary) Zbl 1499.26006 Sci. Sin., Math. 51, No. 1, 43-66 (2021). MSC: 26A18 37E05 39B12 PDFBibTeX XMLCite \textit{L. Liu} et al., Sci. Sin., Math. 51, No. 1, 43--66 (2021; Zbl 1499.26006) Full Text: DOI
Demsky, Scott H. Complete formulas for \(\int x^{\pm n} (a^2 - x^2)^{\pm \frac{1}{2}} dx\). (English) Zbl 1495.26013 Missouri J. Math. Sci. 33, No. 2, 151-157 (2021). MSC: 26A36 PDFBibTeX XMLCite \textit{S. H. Demsky}, Missouri J. Math. Sci. 33, No. 2, 151--157 (2021; Zbl 1495.26013) Full Text: DOI
Chen, Huiqin; Zhao, Xianglan; Chen, Fu; Feng, Wenying Generalization of existence theorems of root and its application. (English) Zbl 1488.26002 J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 337-342 (2021). MSC: 26A24 26A46 26C10 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 337--342 (2021; Zbl 1488.26002)
Dózsa, Tamás; Schipp, Ferenc A generalization of the root function. (English) Zbl 1488.30254 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 97-108 (2021). MSC: 30J10 26C15 30J99 65T99 PDFBibTeX XMLCite \textit{T. Dózsa} and \textit{F. Schipp}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 97--108 (2021; Zbl 1488.30254) Full Text: arXiv Link
Murugan, Veerapazham; Palanivel, Rajendran Non-isolated, non-strictly monotone points of iterates of continuous functions. (English) Zbl 1483.26003 Real Anal. Exch. 46, No. 1, 51-82 (2021). MSC: 26A03 28A05 39B12 PDFBibTeX XMLCite \textit{V. Murugan} and \textit{R. Palanivel}, Real Anal. Exch. 46, No. 1, 51--82 (2021; Zbl 1483.26003) Full Text: DOI Link
Gan, Xiao-Xiong; Bugajewski, Dariusz Formal multiplicative root series and algorithms of their evaluation. (English) Zbl 1478.13034 Commun. Algebra 49, No. 8, 3232-3240 (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 26E35 PDFBibTeX XMLCite \textit{X.-X. Gan} and \textit{D. Bugajewski}, Commun. Algebra 49, No. 8, 3232--3240 (2021; Zbl 1478.13034) Full Text: DOI
Haq, Wasim Ul; Kotrys, Dawid On symmetrized stochastic convexity and the inequalities of Hermite-Hadamard type. (English) Zbl 1478.26007 Aequationes Math. 95, No. 5, 821-828 (2021). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A51 26D15 60G99 PDFBibTeX XMLCite \textit{W. U. Haq} and \textit{D. Kotrys}, Aequationes Math. 95, No. 5, 821--828 (2021; Zbl 1478.26007) Full Text: DOI
Casagrande, Daniele; Krajewski, Wiesław; Viaro, Umberto The Lepschy stability test and its application to fractional-order systems. (English) Zbl 1467.93236 Arch. Control Sci. 31, No. 1, 145-163 (2021). MSC: 93D05 93B27 26A33 PDFBibTeX XMLCite \textit{D. Casagrande} et al., Arch. Control Sci. 31, No. 1, 145--163 (2021; Zbl 1467.93236) Full Text: DOI
Li, L.; Matkowski, J.; Zhang, Q. Square iterative roots of generalized weighted quasi-arithmetic mean-type mappings. (English) Zbl 1474.26169 Acta Math. Hung. 163, No. 1, 149-167 (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 26E60 39B12 39B22 PDFBibTeX XMLCite \textit{L. Li} et al., Acta Math. Hung. 163, No. 1, 149--167 (2021; Zbl 1474.26169) Full Text: DOI
Liu, Liu; Zhang, Weinian Genetics of iterative roots for PM functions. (English) Zbl 1470.37065 Discrete Contin. Dyn. Syst. 41, No. 5, 2391-2409 (2021). MSC: 37E05 39B12 26A18 PDFBibTeX XMLCite \textit{L. Liu} and \textit{W. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 5, 2391--2409 (2021; Zbl 1470.37065) Full Text: DOI
Głazowska, Dorota; Jarczyk, Justyna; Jarczyk, Witold Correction to: “Embeddability of pairs of weighted quasi-arithmetic means into a semiflow”. (English) Zbl 1464.26004 Aequationes Math. 95, No. 3, 599-600 (2021). MSC: 26A18 26E60 39B12 PDFBibTeX XMLCite \textit{D. Głazowska} et al., Aequationes Math. 95, No. 3, 599--600 (2021; Zbl 1464.26004) Full Text: DOI
Murugan, Veerapazham; Palanivel, Rajendran Iterative roots of continuous functions and Hyers-Ulam stability. (English) Zbl 1458.39017 Aequationes Math. 95, No. 1, 107-124 (2021). MSC: 39B12 39A30 26A18 26A48 65H04 PDFBibTeX XMLCite \textit{V. Murugan} and \textit{R. Palanivel}, Aequationes Math. 95, No. 1, 107--124 (2021; Zbl 1458.39017) Full Text: DOI
Auscher, Pascal; Egert, Moritz; Nyström, Kaj \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients. (English) Zbl 1454.35209 J. Eur. Math. Soc. (JEMS) 22, No. 9, 2943-3058 (2020). MSC: 35K51 42B37 26A33 42B25 47A60 47D06 35R05 PDFBibTeX XMLCite \textit{P. Auscher} et al., J. Eur. Math. Soc. (JEMS) 22, No. 9, 2943--3058 (2020; Zbl 1454.35209) Full Text: DOI arXiv
Bechtel, Sebastian; Egert, Moritz; Haller-Dintelmann, Robert The Kato square root problem on locally uniform domains. (English) Zbl 1494.47021 Adv. Math. 375, Article ID 107410, 37 p. (2020). MSC: 47A60 35J47 46E35 26A33 PDFBibTeX XMLCite \textit{S. Bechtel} et al., Adv. Math. 375, Article ID 107410, 37 p. (2020; Zbl 1494.47021) Full Text: DOI arXiv
Mejjaoli, Hatem; Ben Saïd, Salem Harmonic analysis problems associated with the \(k\)-Hankel Gabor transform. (English) Zbl 1460.43004 J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1549-1593 (2020). Reviewer: Ashish Bansal (Delhi) MSC: 43A32 26D10 33C52 43A15 44A15 PDFBibTeX XMLCite \textit{H. Mejjaoli} and \textit{S. Ben Saïd}, J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1549--1593 (2020; Zbl 1460.43004) Full Text: DOI
Leake, Jonathan; Ryder, Nick Connecting the \(q\)-multiplicative convolution and the finite difference convolution. (English) Zbl 1452.26013 Adv. Math. 374, Article ID 107334, 28 p. (2020). Reviewer: Julià Cufí (Bellaterra) MSC: 26C10 30C15 PDFBibTeX XMLCite \textit{J. Leake} and \textit{N. Ryder}, Adv. Math. 374, Article ID 107334, 28 p. (2020; Zbl 1452.26013) Full Text: DOI arXiv
Chapoton, Frédéric; Han, Guo-Niu On the roots of the Poupard and Kreweras polynomials. (English) Zbl 1448.26020 Mosc. J. Comb. Number Theory 9, No. 2, 163-172 (2020). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 11B68 11B83 39A70 47B39 PDFBibTeX XMLCite \textit{F. Chapoton} and \textit{G.-N. Han}, Mosc. J. Comb. Number Theory 9, No. 2, 163--172 (2020; Zbl 1448.26020) Full Text: DOI arXiv
Głazowska, Dorota; Jarczyk, Justyna; Jarczyk, Witold Embeddability of pairs of weighted quasi-arithmetic means into a semiflow. (English) Zbl 1448.26006 Aequationes Math. 94, No. 4, 679-687 (2020); correction ibid. 95, No. 3, 599-600 (2021). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A18 26E60 39B12 PDFBibTeX XMLCite \textit{D. Głazowska} et al., Aequationes Math. 94, No. 4, 679--687 (2020; Zbl 1448.26006) Full Text: DOI
Kannan, V. Existence of compositional square-roots of functions. (English) Zbl 1455.26006 Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 117-123 (2020). Reviewer: George Stoica (Saint John) MSC: 26A48 PDFBibTeX XMLCite \textit{V. Kannan}, Springer Proc. Math. Stat. 302, 117--123 (2020; Zbl 1455.26006) Full Text: DOI
Bisheh-Niasar, Morteza; Gdawiec, Krzysztof Bisheh-Niasar-Saadatmandi root finding method via the \(S\)-iteration with periodic parameters and its polynomiography. (English) Zbl 07316652 Math. Comput. Simul. 160, 1-12 (2019). MSC: 65Hxx 37Fxx 65-XX 26Cxx PDFBibTeX XMLCite \textit{M. Bisheh-Niasar} and \textit{K. Gdawiec}, Math. Comput. Simul. 160, 1--12 (2019; Zbl 07316652) Full Text: DOI
Gorbachev, D. V.; Ivanov, V. I. Fractional smoothness in \(L^p\) with Dunkl weight and its applications. (English) Zbl 1435.42007 Math. Notes 106, No. 4, 537-561 (2019). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42B10 47B38 33C45 33C52 26A15 41A17 41A27 46E30 46E35 PDFBibTeX XMLCite \textit{D. V. Gorbachev} and \textit{V. I. Ivanov}, Math. Notes 106, No. 4, 537--561 (2019; Zbl 1435.42007) Full Text: DOI arXiv
Xu, Renxu; Xu, Huizuo; Qian, Weimao Optimal bounds for a quasi-arithmetic mean in terms of other bivariate means. (Chinese. English summary) Zbl 1449.26045 Math. Pract. Theory 49, No. 9, 304-310 (2019). MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{R. Xu} et al., Math. Pract. Theory 49, No. 9, 304--310 (2019; Zbl 1449.26045)
Garijo, Antonio; Jarque, Xavier Global dynamics of the real secant method. (English) Zbl 1428.37099 Nonlinearity 32, No. 11, 4557-4578 (2019). MSC: 37N30 26A18 65H04 PDFBibTeX XMLCite \textit{A. Garijo} and \textit{X. Jarque}, Nonlinearity 32, No. 11, 4557--4578 (2019; Zbl 1428.37099) Full Text: DOI arXiv Link
Kukushkin, Maksim V. Asymptotics of eigenvalues for differential operators of fractional order. (English) Zbl 07115452 Fract. Calc. Appl. Anal. 22, No. 3, 658-680 (2019). MSC: 47-XX 26A33 47A10 47A07 47B10 PDFBibTeX XMLCite \textit{M. V. Kukushkin}, Fract. Calc. Appl. Anal. 22, No. 3, 658--680 (2019; Zbl 07115452) Full Text: DOI arXiv
Steinerberger, Stefan A nonlocal transport equation describing roots of polynomials under differentiation. (English) Zbl 1431.35196 Proc. Am. Math. Soc. 147, No. 11, 4733-4744 (2019). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q70 44A15 26C10 31A99 37F10 33C45 41A50 33C52 PDFBibTeX XMLCite \textit{S. Steinerberger}, Proc. Am. Math. Soc. 147, No. 11, 4733--4744 (2019; Zbl 1431.35196) Full Text: DOI arXiv
Semenov, V. Yu.; Semenova, E. V. Method for localizing the zeros of analytic functions based on the Krawczyk operator. (English. Russian original) Zbl 07097109 Cybern. Syst. Anal. 55, No. 3, 514-520 (2019); translation from Kibern. Sist. Anal. 2019, No. 3, 194-200 (2019). MSC: 65-XX 26-XX PDFBibTeX XMLCite \textit{V. Yu. Semenov} and \textit{E. V. Semenova}, Cybern. Syst. Anal. 55, No. 3, 514--520 (2019; Zbl 07097109); translation from Kibern. Sist. Anal. 2019, No. 3, 194--200 (2019) Full Text: DOI
Li, Lin; Liu, Liu Decreasing case on characteristic endpoints question for iterative roots of PM functions. (English) Zbl 1411.39012 J. Difference Equ. Appl. 25, No. 3, 396-407 (2019). MSC: 39B12 37E05 26A18 PDFBibTeX XMLCite \textit{L. Li} and \textit{L. Liu}, J. Difference Equ. Appl. 25, No. 3, 396--407 (2019; Zbl 1411.39012) Full Text: DOI
Andreescu, Titu; Safaei, Navid; Ventullo, Alessandro 117 polynomial problems from the AwesomeMath summer program. (English) Zbl 1419.00005 Plano, TX: XYZ Press (ISBN 978-0-9993428-4-8/hbk). x, 262 p. (2019). Reviewer: Mihai Cipu (Bucureşti) MSC: 00A07 00A05 12D05 26D05 97H30 PDFBibTeX XMLCite \textit{T. Andreescu} et al., 117 polynomial problems from the AwesomeMath summer program. Plano, TX: XYZ Press (2019; Zbl 1419.00005)
Panigrahi, T.; Mohapatra, S. K. Coefficient functional for the \(k\)th root transform of analytic function and applications to fractional derivatives. (English) Zbl 1424.30066 Fract. Differ. Calc. 8, No. 1, 191-203 (2018). MSC: 30C45 30C80 26A33 PDFBibTeX XMLCite \textit{T. Panigrahi} and \textit{S. K. Mohapatra}, Fract. Differ. Calc. 8, No. 1, 191--203 (2018; Zbl 1424.30066) Full Text: DOI
Yang, Yueying; Ma, Ping Two optimal inequalities for Neuman-Sándor means. (Chinese. English summary) Zbl 1424.26074 J. East China Norm. Univ., Nat. Sci. Ed. 2018, No. 4, 23-31 (2018). MSC: 26E60 26D20 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{P. Ma}, J. East China Norm. Univ., Nat. Sci. Ed. 2018, No. 4, 23--31 (2018; Zbl 1424.26074) Full Text: DOI
Antipova, I. A.; Mikhalkin, E. N.; Tsikh, A. K. Rational expressions for multiple roots of algebraic equations. (English. Russian original) Zbl 1404.13033 Sb. Math. 209, No. 10, 1419-1444 (2018); translation from Mat. Sb. 209, No. 10, 3-30 (2018). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 26C10 PDFBibTeX XMLCite \textit{I. A. Antipova} et al., Sb. Math. 209, No. 10, 1419--1444 (2018; Zbl 1404.13033); translation from Mat. Sb. 209, No. 10, 3--30 (2018) Full Text: DOI
Kim, Seon-Hong; Kim, Sung Yoon; Kim, Tae Hyung; Lee, Sangheon Root and critical point behaviors of certain sums of polynomials. (English) Zbl 1390.26027 Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 23, 22 p. (2018). MSC: 26C10 30C10 30C15 PDFBibTeX XMLCite \textit{S.-H. Kim} et al., Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 23, 22 p. (2018; Zbl 1390.26027) Full Text: DOI
Li, Lin Topological conjugacy between PM function and its iterative roots. (English) Zbl 1390.39070 Bull. Malays. Math. Sci. Soc. (2) 41, No. 2, 751-764 (2018). MSC: 39B12 37C15 37E05 26A18 PDFBibTeX XMLCite \textit{L. Li}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 2, 751--764 (2018; Zbl 1390.39070) Full Text: DOI
Liu, Liu; Li, Lin; Zhang, Weinian Open question on lower order iterative roots for PM functions. (English) Zbl 1390.39072 J. Difference Equ. Appl. 24, No. 5, 825-847 (2018). MSC: 39B12 37E05 26A18 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Difference Equ. Appl. 24, No. 5, 825--847 (2018; Zbl 1390.39072) Full Text: DOI
Głazowska, D.; Jarczyk, J.; Jarczyk, W. A square iterative roots of some mean-type mappings. (English) Zbl 1384.26019 J. Difference Equ. Appl. 24, No. 5, 729-735 (2018). MSC: 26A18 26E60 39B12 39B22 PDFBibTeX XMLCite \textit{D. Głazowska} et al., J. Difference Equ. Appl. 24, No. 5, 729--735 (2018; Zbl 1384.26019) Full Text: DOI
Mehrez, Khaled; El Kamel, Jamel Dunkl completely monotonic functions. (English) Zbl 1384.26033 J. Difference Equ. Appl. 24, No. 2, 291-303 (2018). MSC: 26A48 33C52 42A38 PDFBibTeX XMLCite \textit{K. Mehrez} and \textit{J. El Kamel}, J. Difference Equ. Appl. 24, No. 2, 291--303 (2018; Zbl 1384.26033) Full Text: DOI arXiv
Li, Lin; Zhang, Weinian The question on characteristic endpoints for iterative roots of PM functions. (English) Zbl 1375.26008 J. Math. Anal. Appl. 458, No. 1, 265-280 (2018). MSC: 26A18 39B12 PDFBibTeX XMLCite \textit{L. Li} and \textit{W. Zhang}, J. Math. Anal. Appl. 458, No. 1, 265--280 (2018; Zbl 1375.26008) Full Text: DOI
Herman, Aaron; Hong, Hoon; Tsigaridas, Elias Improving root separation bounds. (English) Zbl 1415.26005 J. Symb. Comput. 84, 25-56 (2018). MSC: 26C10 12D10 PDFBibTeX XMLCite \textit{A. Herman} et al., J. Symb. Comput. 84, 25--56 (2018; Zbl 1415.26005) Full Text: DOI HAL
Singh, Devendra; Jain, K. C. New logarithmic information divergence measure. (English) Zbl 1449.94052 Int. Bull. Math. Res., IBMR 4, No. 3, 45-49 (2017). MSC: 94A17 26D15 PDFBibTeX XMLCite \textit{D. Singh} and \textit{K. C. Jain}, Int. Bull. Math. Res., IBMR 4, No. 3, 45--49 (2017; Zbl 1449.94052) Full Text: Link
Anghel, Nicolae Square roots of real \(3 \times 3\) matrices vs. quartic polynomials with real zeros. (English) Zbl 1424.15013 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 3, 45-58 (2017). MSC: 15A16 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{N. Anghel}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 3, 45--58 (2017; Zbl 1424.15013) Full Text: DOI
Zhang, Pingping; Huang, Liguo Iterative roots of upper semicontinuous multifunctions. (English) Zbl 1444.39023 Adv. Difference Equ. 2017, Paper No. 367, 14 p. (2017). MSC: 39B12 26A18 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{L. Huang}, Adv. Difference Equ. 2017, Paper No. 367, 14 p. (2017; Zbl 1444.39023) Full Text: DOI
Dobbs, David E. Why the \(n^{\text{th}}\)-root function is not a rational function. (English) Zbl 1397.97022 Int. J. Math. Educ. Sci. Technol. 48, No. 7, 1120-1132 (2017). MSC: 97I20 26A09 PDFBibTeX XMLCite \textit{D. E. Dobbs}, Int. J. Math. Educ. Sci. Technol. 48, No. 7, 1120--1132 (2017; Zbl 1397.97022) Full Text: DOI
Bonito, Andrea; Pasciak, Joseph E. Numerical approximation of fractional powers of regularly accretive operators. (English) Zbl 1433.65099 IMA J. Numer. Anal. 37, No. 3, 1245-1273 (2017); corrigendum ibid. 37, No. 4, 2170 (2017). MSC: 65J10 65R10 26A33 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{J. E. Pasciak}, IMA J. Numer. Anal. 37, No. 3, 1245--1273 (2017; Zbl 1433.65099) Full Text: DOI arXiv
Hua, Yun Bounds for the arithmetic mean in terms of the toader mean and other bivariate means. (English) Zbl 1399.26052 Miskolc Math. Notes 18, No. 1, 203-210 (2017). MSC: 26D15 26E60 PDFBibTeX XMLCite \textit{Y. Hua}, Miskolc Math. Notes 18, No. 1, 203--210 (2017; Zbl 1399.26052) Full Text: DOI
García-Morales, Vladimir Nonlinear embeddings: applications to analysis, fractals and polynomial root finding. (English) Zbl 1373.26013 Chaos Solitons Fractals 99, 312-324 (2017). MSC: 26B40 65H04 05A17 PDFBibTeX XMLCite \textit{V. García-Morales}, Chaos Solitons Fractals 99, 312--324 (2017; Zbl 1373.26013) Full Text: DOI arXiv
Eaton, Julia; Grundel, Sara; Gürbüzbalaban, Mert; Overton, Michael L. Polynomial root radius optimization with affine constraints. (English) Zbl 1377.26015 Math. Program. 165, No. 2 (A), 509-528 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 26C10 49J52 PDFBibTeX XMLCite \textit{J. Eaton} et al., Math. Program. 165, No. 2 (A), 509--528 (2017; Zbl 1377.26015) Full Text: DOI Link
Higashitani, Akihiro; Kummer, Mario; Michałek, Mateusz Interlacing Ehrhart polynomials of reflexive polytopes. (English) Zbl 1377.26016 Sel. Math., New Ser. 23, No. 4, 2977-2998 (2017). Reviewer: Mihai Cipu (Bucureşti) MSC: 26C10 52B20 12D10 30C15 05C31 33C45 65H04 PDFBibTeX XMLCite \textit{A. Higashitani} et al., Sel. Math., New Ser. 23, No. 4, 2977--2998 (2017; Zbl 1377.26016) Full Text: DOI arXiv
Tyaglov, Mikhail Self-interlacing polynomials. (English) Zbl 1398.12003 Linear Algebra Appl. 535, 12-34 (2017). MSC: 12D10 26C10 26C15 30C10 30C15 15B05 PDFBibTeX XMLCite \textit{M. Tyaglov}, Linear Algebra Appl. 535, 12--34 (2017; Zbl 1398.12003) Full Text: DOI arXiv
Pan, Victor Y.; Zhao, Liang Real polynomial root-finding by means of matrix and polynomial iterations. (English) Zbl 1375.65067 Theor. Comput. Sci. 681, 101-116 (2017). MSC: 65H04 26C10 65F10 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{L. Zhao}, Theor. Comput. Sci. 681, 101--116 (2017; Zbl 1375.65067) Full Text: DOI
Lin, Yinhe; Zeng, Yingying; Zhang, Weinian Iterative roots of clenched single-plateau functions. (English) Zbl 1375.26009 Result. Math. 71, No. 1-2, 15-43 (2017). Reviewer: Victor V. Goryainov (Moscow) MSC: 26A18 37E05 39B12 PDFBibTeX XMLCite \textit{Y. Lin} et al., Result. Math. 71, No. 1--2, 15--43 (2017; Zbl 1375.26009) Full Text: DOI
Li, Lin A topological classification for piecewise monotone iterative roots. (English) Zbl 1361.39010 Aequationes Math. 91, No. 1, 137-152 (2017). Reviewer: Jens Schwaiger (Graz) MSC: 39B12 37C15 37E05 26A18 PDFBibTeX XMLCite \textit{L. Li}, Aequationes Math. 91, No. 1, 137--152 (2017; Zbl 1361.39010) Full Text: DOI
Vabishchevich, Petr N. Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. (English) Zbl 1499.65438 Math. Model. Anal. 21, No. 2, 220-238 (2016). MSC: 65M06 26A33 35R11 65F60 65N06 76R50 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Math. Model. Anal. 21, No. 2, 220--238 (2016; Zbl 1499.65438) Full Text: DOI arXiv
Cole, Morgan; Dunn, Scott; Filaseta, Michael Further irreducibility criteria for polynomials with non-negative coefficients. (English) Zbl 1403.11067 Acta Arith. 175, No. 2, 137-181 (2016). Reviewer: Andreas Bender (Pavia) MSC: 11R09 11C08 12E05 26C10 PDFBibTeX XMLCite \textit{M. Cole} et al., Acta Arith. 175, No. 2, 137--181 (2016; Zbl 1403.11067) Full Text: DOI Link
Prabhakar, Swaroop N.; Sharma, Vikram A lower bound for computing Lagrange’s real root bound. (English) Zbl 1453.26010 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 444-456 (2016). MSC: 26C10 68Q17 PDFBibTeX XMLCite \textit{S. N. Prabhakar} and \textit{V. Sharma}, Lect. Notes Comput. Sci. 9890, 444--456 (2016; Zbl 1453.26010) Full Text: DOI
Li, Lin; Zhang, WenMeng Conjugacy between piecewise monotonic functions and their iterative roots. (English) Zbl 1338.39032 Sci. China, Math. 59, No. 2, 367-378 (2016). MSC: 39B12 37C15 37E05 26A18 PDFBibTeX XMLCite \textit{L. Li} and \textit{W. Zhang}, Sci. China, Math. 59, No. 2, 367--378 (2016; Zbl 1338.39032) Full Text: DOI
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L. Root geometry of polynomial sequences. II: Type \((1,0)\). (English) Zbl 1344.05014 J. Math. Anal. Appl. 441, No. 2, 499-528 (2016). MSC: 05A15 26C10 PDFBibTeX XMLCite \textit{J. L. Gross} et al., J. Math. Anal. Appl. 441, No. 2, 499--528 (2016; Zbl 1344.05014) Full Text: DOI arXiv
Santander, J. L. G. Calculation of some integrals involving the Macdonald function by using Fourier transform. (English) Zbl 1381.42022 J. Math. Anal. Appl. 441, No. 1, 349-363 (2016). MSC: 42B10 33C10 33C52 26A42 PDFBibTeX XMLCite \textit{J. L. G. Santander}, J. Math. Anal. Appl. 441, No. 1, 349--363 (2016; Zbl 1381.42022) Full Text: DOI
Navarrete, Raymundo; Viswanath, Divakar Accuracy and stability of inversion of power series. (English) Zbl 1334.65038 IMA J. Numer. Anal. 36, No. 1, 421-436 (2016). MSC: 65D15 26E05 65H04 PDFBibTeX XMLCite \textit{R. Navarrete} and \textit{D. Viswanath}, IMA J. Numer. Anal. 36, No. 1, 421--436 (2016; Zbl 1334.65038) Full Text: DOI arXiv
Chong, Han-Kyol; Kim, Seon-Hong On some root behaviors of certain sums of polynomials. (English) Zbl 1336.26018 Bull. Korean Math. Soc. 53, No. 1, 21-28 (2016). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 12D10 PDFBibTeX XMLCite \textit{H.-K. Chong} and \textit{S.-H. Kim}, Bull. Korean Math. Soc. 53, No. 1, 21--28 (2016; Zbl 1336.26018) Full Text: DOI Link
Herman, Aaron; Hong, Hoon Quality of positive root bounds. (English) Zbl 1332.12002 J. Symb. Comput. 74, 592-602 (2016). MSC: 12D10 26C10 65H04 PDFBibTeX XMLCite \textit{A. Herman} and \textit{H. Hong}, J. Symb. Comput. 74, 592--602 (2016; Zbl 1332.12002) Full Text: DOI
Collins, George E. Continued fraction real root isolation using the Hong root bound. (English) Zbl 1329.65094 J. Symb. Comput. 72, 21-54 (2016). MSC: 65H04 11A55 11Y65 12D10 26C10 30C15 65Y20 68W30 PDFBibTeX XMLCite \textit{G. E. Collins}, J. Symb. Comput. 72, 21--54 (2016; Zbl 1329.65094) Full Text: DOI
Pan, Victor Y.; Zhao, Liang Polynomial real root isolation by means of root radii approximation. (English) Zbl 1434.65066 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 349-360 (2015). MSC: 65H04 26C10 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{L. Zhao}, Lect. Notes Comput. Sci. 9301, 349--360 (2015; Zbl 1434.65066) Full Text: DOI arXiv
Anatriello, Giuseppina; Fiorenza, Alberto; Giovanni, Vincenzi Banach function norms via Cauchy polynomials and applications. (English) Zbl 1345.46003 Int. J. Math. 26, No. 10, Article ID 1550083, 20 p. (2015). MSC: 46A16 46E30 46B20 26C10 39A06 PDFBibTeX XMLCite \textit{G. Anatriello} et al., Int. J. Math. 26, No. 10, Article ID 1550083, 20 p. (2015; Zbl 1345.46003) Full Text: DOI
Auscher, Pascal; Badr, Nadine; Haller-Dintelmann, Robert; Rehberg, Joachim The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\). (English) Zbl 1333.47034 J. Evol. Equ. 15, No. 1, 165-208 (2015). Reviewer: René L. Schilling (Dresden) MSC: 47D06 46E35 35J15 42B20 47B44 26D15 46B70 35K20 PDFBibTeX XMLCite \textit{P. Auscher} et al., J. Evol. Equ. 15, No. 1, 165--208 (2015; Zbl 1333.47034) Full Text: DOI arXiv Backlinks: MO
Villarino, Mark B. Quotient polynomials with positive coefficients. (English) Zbl 1383.26011 Math. Gaz. 98, No. 542, 250-255 (2014). MSC: 26C10 PDFBibTeX XMLCite \textit{M. B. Villarino}, Math. Gaz. 98, No. 542, 250--255 (2014; Zbl 1383.26011) Full Text: DOI arXiv
Le Thi, Hoai An; Ouanes, Mohand; Zidna, Ahmed Computing real zeros of a polynomial by branch and bound and branch and reduce algorithms. (English) Zbl 1458.65052 Yugosl. J. Oper. Res. 24, No. 1, 53-69 (2014). MSC: 65H04 26C10 90C30 90C20 90C25 90C57 PDFBibTeX XMLCite \textit{H. A. Le Thi} et al., Yugosl. J. Oper. Res. 24, No. 1, 53--69 (2014; Zbl 1458.65052) Full Text: DOI
Ravi, K.; Kumar, B. V. Senthil Fuzzy stability of generalized square root functional equation in several variables: a fixed point approach. (English) Zbl 1399.46111 Int. J. Anal. Appl. 5, No. 1, 10-19 (2014). MSC: 46S40 39B72 39B52 46S50 26E50 PDFBibTeX XMLCite \textit{K. Ravi} and \textit{B. V. S. Kumar}, Int. J. Anal. Appl. 5, No. 1, 10--19 (2014; Zbl 1399.46111) Full Text: Link
Torre, Amalia; Dattoli, Giuseppe; Quattromini, Marcello; Ricci, Paolo Emilio; Babusci, Danilo Extension of the Dirac factorization and relevant applications. (English) Zbl 1341.35141 Bull. TICMI 18, No. 2, 52-66 (2014). MSC: 35Q41 81Q05 26A33 PDFBibTeX XMLCite \textit{A. Torre} et al., Bull. TICMI 18, No. 2, 52--66 (2014; Zbl 1341.35141)
Li, Lin; Chen, Jingmin Iterative roots of piecewise monotonic functions with finite nonmonotonicity height. (English) Zbl 1308.26007 J. Math. Anal. Appl. 411, No. 1, 395-404 (2014). MSC: 26A12 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Chen}, J. Math. Anal. Appl. 411, No. 1, 395--404 (2014; Zbl 1308.26007) Full Text: DOI
Chunrong, Liu; Siqi, Liu Best possible inequalities between generalized logarithmic mean and weighted geometric mean of geometric, square-root, and root-square means. (English) Zbl 1305.26044 J. Math. Inequal. 8, No. 4, 899-914 (2014). MSC: 26D15 26D20 PDFBibTeX XMLCite \textit{L. Chunrong} and \textit{L. Siqi}, J. Math. Inequal. 8, No. 4, 899--914 (2014; Zbl 1305.26044) Full Text: Link
Jiang, Wei-Dong; Qi, Feng Sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square. (English) Zbl 1340.26058 Period. Math. Hung. 69, No. 2, 134-138 (2014). Reviewer: Gheorghe Toader (Cluj-Napoca) MSC: 26E60 26D99 PDFBibTeX XMLCite \textit{W.-D. Jiang} and \textit{F. Qi}, Period. Math. Hung. 69, No. 2, 134--138 (2014; Zbl 1340.26058) Full Text: DOI arXiv
Zhang, Fan; Qian, Wei-Mao Sharp bounds for Seiffert mean by harmonic, contraharmonic and harmonic root square means. (English) Zbl 1298.26099 Pac. J. Appl. Math. 6, No. 1, 45-51 (2014). MSC: 26E60 26D07 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{W.-M. Qian}, Pac. J. Appl. Math. 6, No. 1, 45--51 (2014; Zbl 1298.26099)
Zdun, Marek Cezary; Solarz, Paweł Recent results on iteration theory: iteration groups and semigroups in the real case. (English) Zbl 1295.39015 Aequationes Math. 87, No. 3, 201-245 (2014). MSC: 39B12 39B82 39B52 37C15 37E10 26A18 26E25 57S05 PDFBibTeX XMLCite \textit{M. C. Zdun} and \textit{P. Solarz}, Aequationes Math. 87, No. 3, 201--245 (2014; Zbl 1295.39015) Full Text: DOI
Charalambides, Marcos A new property of a class of Koornwinder Laguerre polynomials. (English) Zbl 1297.26027 Integral Transforms Spec. Funct. 25, No. 8, 634-646 (2014). Reviewer: Peter Massopust (München) MSC: 26C10 30C15 33C47 33C52 PDFBibTeX XMLCite \textit{M. Charalambides}, Integral Transforms Spec. Funct. 25, No. 8, 634--646 (2014; Zbl 1297.26027) Full Text: DOI
Sagraloff, Michael On the complexity of the Descartes method when using approximate arithmetic. (English) Zbl 1321.65080 J. Symb. Comput. 65, 79-110 (2014). MSC: 65H04 65H05 26C10 PDFBibTeX XMLCite \textit{M. Sagraloff}, J. Symb. Comput. 65, 79--110 (2014; Zbl 1321.65080) Full Text: DOI
Charalambides, Marios A general stability theorem with applications. (English) Zbl 1282.33016 Proc. Am. Math. Soc. 142, No. 1, 191-197 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 26C10 30C15 33C52 PDFBibTeX XMLCite \textit{M. Charalambides}, Proc. Am. Math. Soc. 142, No. 1, 191--197 (2014; Zbl 1282.33016) Full Text: DOI
Aurentz, Jared L. A factorization of the inverse of the shifted companion matrix. (English) Zbl 1283.65023 Electron. J. Linear Algebra 26, 231-247 (2013). MSC: 65F15 65F18 65H04 26C10 PDFBibTeX XMLCite \textit{J. L. Aurentz}, Electron. J. Linear Algebra 26, 231--247 (2013; Zbl 1283.65023) Full Text: DOI Link Link
Yoshida, Rintaro On some questions of Fisk and Brändén. (English) Zbl 1279.33022 Complex Var. Elliptic Equ. 58, No. 7, 933-945 (2013). MSC: 33C47 26C10 30C15 33C52 PDFBibTeX XMLCite \textit{R. Yoshida}, Complex Var. Elliptic Equ. 58, No. 7, 933--945 (2013; Zbl 1279.33022) Full Text: DOI arXiv
Xi, Bo-Yan; Qi, Feng Convergence, monotonicity, and inequalities of sequences involving continued powers. (English) Zbl 1282.40001 Analysis, München 33, No. 3, 235-242 (2013). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 40A05 26D20 PDFBibTeX XMLCite \textit{B.-Y. Xi} and \textit{F. Qi}, Analysis, München 33, No. 3, 235--242 (2013; Zbl 1282.40001) Full Text: DOI
Qian, Wei-Mao; Chu, Yu-Ming On certain inequalities for Neuman-Sándor mean. (English) Zbl 1276.26060 Abstr. Appl. Anal. 2013, Article ID 790783, 6 p. (2013). MSC: 26E60 PDFBibTeX XMLCite \textit{W.-M. Qian} and \textit{Y.-M. Chu}, Abstr. Appl. Anal. 2013, Article ID 790783, 6 p. (2013; Zbl 1276.26060) Full Text: DOI
Tremblay, R.; Gaboury, S.; Fugère, B.-J. A new Leibniz rule and its integral analogue for fractional derivatives. (English) Zbl 1267.26006 Integral Transforms Spec. Funct. 24, No. 2, 111-128 (2013). Reviewer: S. L. Kalla (Jodhpur) MSC: 26A33 33C20 33C52 PDFBibTeX XMLCite \textit{R. Tremblay} et al., Integral Transforms Spec. Funct. 24, No. 2, 111--128 (2013; Zbl 1267.26006) Full Text: DOI
Northshield, Sam A root-finding algorithm for cubics. (English) Zbl 1262.65056 Proc. Am. Math. Soc. 141, No. 2, 645-649 (2013). Reviewer: Hang Lau (Montréal) MSC: 65H04 26C10 PDFBibTeX XMLCite \textit{S. Northshield}, Proc. Am. Math. Soc. 141, No. 2, 645--649 (2013; Zbl 1262.65056) Full Text: DOI
Melman, A. Comment on a result by Alpin, Chien, and Yeh. (English) Zbl 1262.15027 Proc. Am. Math. Soc. 141, No. 3, 775-777 (2013). MSC: 15A60 15A42 30C15 26C10 PDFBibTeX XMLCite \textit{A. Melman}, Proc. Am. Math. Soc. 141, No. 3, 775--777 (2013; Zbl 1262.15027) Full Text: DOI