Saadati, Maryam; Oveisiha, Morteza Approximate solutions for robust multiobjective optimization programming in Asplund spaces. (English) Zbl 07808323 Optimization 73, No. 2, 329-357 (2024). MSC: 41A65 49K99 65K10 90C29 90C46 PDFBibTeX XMLCite \textit{M. Saadati} and \textit{M. Oveisiha}, Optimization 73, No. 2, 329--357 (2024; Zbl 07808323) Full Text: DOI arXiv
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan Genuine Bernstein-Durrmeyer type operators preserving 1 and \(x^j\). (English) Zbl 07784679 Ann. Funct. Anal. 15, No. 1, Paper No. 4, 22 p. (2024). MSC: 41A36 26A51 PDFBibTeX XMLCite \textit{U. Abel} et al., Ann. Funct. Anal. 15, No. 1, Paper No. 4, 22 p. (2024; Zbl 07784679) Full Text: DOI
Bessenyei, Mihály; Pénzes, Evelin Support theorems for generalized monotone functions. (English) Zbl 1528.26010 J. Convex Anal. 30, No. 1, 359-369 (2023). Reviewer: Szymon Wąsowicz (Bielsko-Biała) MSC: 26A51 26A48 26D15 39B62 41A17 PDFBibTeX XMLCite \textit{M. Bessenyei} and \textit{E. Pénzes}, J. Convex Anal. 30, No. 1, 359--369 (2023; Zbl 1528.26010) Full Text: Link
Li, Yan-Fang; Lim, Dongkyu; Qi, Feng Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–Ismail’s two conjectures. arXiv:2310.12697 Preprint, arXiv:2310.12697 [math.CA] (2023). MSC: 33B10 15A15 26A24 26A48 26A51 33B15 44A10 41A58 BibTeX Cite \textit{Y.-F. Li} et al., ``Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures'', Preprint, arXiv:2310.12697 [math.CA] (2023) Full Text: DOI arXiv OA License
Montano, Mirella Cappelletti; Leonessa, Vita A sequence of Kantorovich-type operators on mobile intervals. (English) Zbl 1463.41058 Constr. Math. Anal. 2, No. 3, 130-143 (2019). MSC: 41A36 41A25 47D06 PDFBibTeX XMLCite \textit{M. C. Montano} and \textit{V. Leonessa}, Constr. Math. Anal. 2, No. 3, 130--143 (2019; Zbl 1463.41058) Full Text: DOI
Ozsarac, Firat; Acar, Tuncer Reconstruction of Baskakov operators preserving some exponential functions. (English) Zbl 1429.41025 Math. Methods Appl. Sci. 42, No. 16, 5124-5132 (2019). MSC: 41A36 41A25 41A35 PDFBibTeX XMLCite \textit{F. Ozsarac} and \textit{T. Acar}, Math. Methods Appl. Sci. 42, No. 16, 5124--5132 (2019; Zbl 1429.41025) Full Text: DOI
Xu, Xiao-Wei; Goldman, Ron On Lototsky-Bernstein operators and Lototsky-Bernstein bases. (English) Zbl 1505.41018 Comput. Aided Geom. Des. 68, 48-59 (2019). MSC: 41A36 PDFBibTeX XMLCite \textit{X.-W. Xu} and \textit{R. Goldman}, Comput. Aided Geom. Des. 68, 48--59 (2019; Zbl 1505.41018) Full Text: DOI
González Merino, Bernardo; Jahn, Thomas; Richter, Christian Uniqueness of circumcenters in generalized Minkowski spaces. (English) Zbl 1402.52003 J. Approx. Theory 237, 153-159 (2019). MSC: 52A20 41A28 41A52 41A65 52A21 52A40 PDFBibTeX XMLCite \textit{B. González Merino} et al., J. Approx. Theory 237, 153--159 (2019; Zbl 1402.52003) Full Text: DOI arXiv
Acu, Ana Maria; Muraru, Carmen Violeta; Radu, Voichiţa Adriana On the monotonicity of \(q\)-Schurer-Stancu type polynomials. (English) Zbl 1463.41010 Miskolc Math. Notes 19, No. 1, 19-28 (2018). MSC: 41A10 41A36 PDFBibTeX XMLCite \textit{A. M. Acu} et al., Miskolc Math. Notes 19, No. 1, 19--28 (2018; Zbl 1463.41010) Full Text: DOI
Aral, Ali; Cárdenas-Morales, Daniel; Garrancho, Pedro Bernstein-type operators that reproduce exponential functions. (English) Zbl 1403.41006 J. Math. Inequal. 12, No. 3, 861-872 (2018). MSC: 41A36 41A25 41A40 PDFBibTeX XMLCite \textit{A. Aral} et al., J. Math. Inequal. 12, No. 3, 861--872 (2018; Zbl 1403.41006) Full Text: DOI
Bessenyei, Mihály Axiomatic and algebraic convexity of regular pairs. (English) Zbl 1402.52001 J. Geom. 109, No. 1, Paper No. 24, 7 p. (2018). Reviewer: Flavia-Corina Mitroi-Symeonidis (Bucharest) MSC: 52A10 26A51 41A50 52A01 52A35 PDFBibTeX XMLCite \textit{M. Bessenyei}, J. Geom. 109, No. 1, Paper No. 24, 7 p. (2018; Zbl 1402.52001) Full Text: DOI
Ivanov, G. E.; Lopushanski, M. S. Separation theorems for nonconvex sets in spaces with non-symmetric seminorm. (English) Zbl 1380.49025 Math. Inequal. Appl. 20, No. 3, 737-754 (2017). Reviewer: Alfred Göpfert (Leipzig) MSC: 49K27 46N10 49K40 41A65 52A30 52A01 PDFBibTeX XMLCite \textit{G. E. Ivanov} and \textit{M. S. Lopushanski}, Math. Inequal. Appl. 20, No. 3, 737--754 (2017; Zbl 1380.49025) Full Text: DOI
Söylemez-Özden, Dilek Some properties of the generalized Bleimann, Butzer and Hahn operators. (English) Zbl 1354.41023 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 64, No. 2, 55-62 (2015). MSC: 41A36 41A20 PDFBibTeX XMLCite \textit{D. Söylemez-Özden}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 64, No. 2, 55--62 (2015; Zbl 1354.41023) Full Text: DOI
Shang, Shaoqiang; Cui, Yunan Approximative compactness and continuity of the set-valued metric generalized inverse in Banach spaces. (English) Zbl 1311.46017 J. Math. Anal. Appl. 422, No. 2, 1363-1375 (2015). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 47A50 47A58 47N40 PDFBibTeX XMLCite \textit{S. Shang} and \textit{Y. Cui}, J. Math. Anal. Appl. 422, No. 2, 1363--1375 (2015; Zbl 1311.46017) Full Text: DOI
Chandok, Sumit; Liang, Jin; O’Regan, Donal Common fixed points and invariant approximations for noncommuting contraction mappings in strongly convex metric spaces. (English) Zbl 1311.54037 J. Nonlinear Convex Anal. 15, No. 6, 1113-1123 (2014). Reviewer: Hüseyin Çakalli (Istanbul) MSC: 54H25 54E50 41A65 52A01 PDFBibTeX XMLCite \textit{S. Chandok} et al., J. Nonlinear Convex Anal. 15, No. 6, 1113--1123 (2014; Zbl 1311.54037) Full Text: Link
Alimov, A. R. Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. (English. Russian original) Zbl 1303.41018 Izv. Math. 78, No. 4, 641-655 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 4, (2014). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 46B20 52A01 PDFBibTeX XMLCite \textit{A. R. Alimov}, Izv. Math. 78, No. 4, 641--655 (2014; Zbl 1303.41018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 4, (2014) Full Text: DOI arXiv
Gavrea, Ioan; Ivan, Mircea; Moga, Rozica Some applications of Hopf’s identity on divided differences. (English) Zbl 1389.26011 Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 11, 41-51 (2013). MSC: 26A24 41A05 26A51 PDFBibTeX XMLCite \textit{I. Gavrea} et al., Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 11, 41--51 (2013; Zbl 1389.26011)
Cárdenas-Morales, D.; Garrancho, P.; Raşa, I. Optimality of piecewise image-linear interpolating operators. (English) Zbl 1295.41019 Appl. Math. Comput. 219, No. 12, 6445-6448 (2013). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A36 PDFBibTeX XMLCite \textit{D. Cárdenas-Morales} et al., Appl. Math. Comput. 219, No. 12, 6445--6448 (2013; Zbl 1295.41019) Full Text: DOI
Cárdenas-Morales, D.; Garrancho, P.; Raşa, I. Bernstein-type operators which preserve polynomials. (English) Zbl 1228.41019 Comput. Math. Appl. 62, No. 1, 158-163 (2011). MSC: 41A36 PDFBibTeX XMLCite \textit{D. Cárdenas-Morales} et al., Comput. Math. Appl. 62, No. 1, 158--163 (2011; Zbl 1228.41019) Full Text: DOI
Aldaz, J. M.; Render, H. Optimality of generalized Bernstein operators. (English) Zbl 1195.41023 J. Approx. Theory 162, No. 7, 1407-1416 (2010). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A36 PDFBibTeX XMLCite \textit{J. M. Aldaz} and \textit{H. Render}, J. Approx. Theory 162, No. 7, 1407--1416 (2010; Zbl 1195.41023) Full Text: DOI arXiv
Cárdenas-Morales, Daniel; Garrancho García, Pedro On generalized convexity and saturation of linear shape preserving operators. (English) Zbl 1487.52003 East J. Approx. 12, No. 1, 119-126 (2006). MSC: 52A01 41A29 PDFBibTeX XMLCite \textit{D. Cárdenas-Morales} and \textit{P. Garrancho García}, East J. Approx. 12, No. 1, 119--126 (2006; Zbl 1487.52003)
Alimov, A. R. Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). (English. Russian original) Zbl 1157.41003 Izv. Math. 70, No. 5, 857-866 (2006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 5, 3-12 (2006). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A50 41A65 52A01 PDFBibTeX XMLCite \textit{A. R. Alimov}, Izv. Math. 70, No. 5, 857--866 (2006; Zbl 1157.41003); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 5, 3--12 (2006) Full Text: DOI
Song, Wen; Cao, Zhengjun The generalized decomposition theorem in Banach spaces and its applications. (English) Zbl 1067.46009 J. Approximation Theory 129, No. 2, 167-181 (2004). Reviewer: Daniel Wulbert (La Jolla) MSC: 46B10 41A50 49J40 PDFBibTeX XMLCite \textit{W. Song} and \textit{Z. Cao}, J. Approx. Theory 129, No. 2, 167--181 (2004; Zbl 1067.46009) Full Text: DOI
Păltănea, Radu Approximation of derivatives by nonlinear operators. (English) Zbl 1084.41518 Rev. Anal. Numér. Théor. Approx. 31, No. 2, 187-194 (2002). MSC: 41A28 41A35 26B25 PDFBibTeX XMLCite \textit{R. Păltănea}, Rev. Anal. Numér. Théor. Approx. 31, No. 2, 187--194 (2002; Zbl 1084.41518)
Cristescu, Gabriela; Lupşa, Liana \((f,Y)\)-induced best approximation with respect to a subspace. (English) Zbl 1078.41023 Bul. Științ. Univ. Baia Mare, Ser. B, Fasc. Mat.-Inform. 18, No. 2, 199-204 (2002). MSC: 41A50 52A01 52A05 52A07 PDFBibTeX XMLCite \textit{G. Cristescu} and \textit{L. Lupşa}, Bul. Științ. Univ. Baia Mare, Ser. B, Fasc. Mat.-Inform. 18, No. 2, 199--204 (2002; Zbl 1078.41023)
Repovš, Dušan; Semenov, Pavel V. On strong approximations of usc nonconvex-valued mappings. (English) Zbl 1021.54020 J. Approximation Theory 119, No. 1, 1-17 (2002). Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) MSC: 54C60 41A65 54C65 52A01 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{P. V. Semenov}, J. Approx. Theory 119, No. 1, 1--17 (2002; Zbl 1021.54020) Full Text: DOI
Altomare, Francesco; Rasa, Ioan Feller semigroups, Bernstein type operators and generalized convexity associated with positive projections. (English) Zbl 0938.41013 Müller, M. W. (ed.) et al., New developments in approximation theory. 2nd international Dortmund meeting (IDoMAT) ’98, Germany, February 23-27, 1998. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 132, 9-32 (1999). Reviewer: Catalin Badea (Villeneuve d’Ascq) MSC: 41A36 PDFBibTeX XMLCite \textit{F. Altomare} and \textit{I. Rasa}, ISNM, Int. Ser. Numer. Math. 132, 9--32 (1999; Zbl 0938.41013)
Polster, Burkard Separating sets in interpolation and geometry. (English) Zbl 0921.41003 Aequationes Math. 56, No. 3, 201-215 (1998). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A05 30E05 51H10 41A50 PDFBibTeX XMLCite \textit{B. Polster}, Aequationes Math. 56, No. 3, 201--215 (1998; Zbl 0921.41003) Full Text: DOI
Bogdanov, V. V. On the algorithm of constructing a generalized spline preserving orientations of convexity of data. (Russian) Zbl 0949.65010 Vychisl. Sist. 159, 72-86 (1997). Reviewer: Yu.S.Volkov (Novosibirsk) MSC: 65D07 41A15 41A29 PDFBibTeX XMLCite \textit{V. V. Bogdanov}, Vychisl. Sist. 159, 72--86 (1997; Zbl 0949.65010)
Roth, Walter Real and complex linear extensions for locally convex cones. (English) Zbl 0903.46012 J. Funct. Anal. 151, No. 2, 437-454 (1997). Reviewer: H.Pfister (München) MSC: 46A40 46A55 41A65 52A01 PDFBibTeX XMLCite \textit{W. Roth}, J. Funct. Anal. 151, No. 2, 437--454 (1997; Zbl 0903.46012) Full Text: DOI
Lacolle, Bernard Convex functions and logarithms of polynomials with positive coefficients. (Fonctions convexes et logarithmes de polynômes à coefficients positifs.) (French) Zbl 0822.26010 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 3, No. 1, 91-133 (1994). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 26B25 26C10 41A10 PDFBibTeX XMLCite \textit{B. Lacolle}, Ann. Fac. Sci. Toulouse, Math. (6) 3, No. 1, 91--133 (1994; Zbl 0822.26010) Full Text: DOI Numdam EuDML
Popoviciu, Elena Remark on a mean-value theorem of Tiberiu Popoviciu. (Remarque sur un théorème de la moyenne de Tiberiu Popoviciu.) (French) Zbl 0823.41007 Rev. Anal. Numér. Théor. Approx. 22, No. 1, 97-101 (1993). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 41A10 41A15 47A05 26A51 PDFBibTeX XMLCite \textit{E. Popoviciu}, Rev. Anal. Numér. Théor. Approx. 22, No. 1, 97--101 (1993; Zbl 0823.41007)
Khoury, Raja Nicolas \({\lambda{}}(n)\)-convex functions. (English) Zbl 0783.15009 J. Math. Anal. Appl. 163, No. 1, 1-14 (1992). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 15A45 15A15 26A51 41A05 41A17 41A29 26A24 PDFBibTeX XMLCite \textit{R. N. Khoury}, J. Math. Anal. Appl. 163, No. 1, 1--14 (1992; Zbl 0783.15009) Full Text: DOI
Mathsen, Ronald M.; Ubhaya, Vasant A. Generalized convex functions and best \(L_ p\) approximation. (English) Zbl 0747.41024 Proc. Am. Math. Soc. 114, No. 3, 733-740 (1992). Reviewer: S.S.Dragomir (Timişoara) MSC: 41A50 41A65 41A30 46E30 26A51 PDFBibTeX XMLCite \textit{R. M. Mathsen} and \textit{V. A. Ubhaya}, Proc. Am. Math. Soc. 114, No. 3, 733--740 (1992; Zbl 0747.41024) Full Text: DOI
Horwitz, Alan Means and Taylor polynomials. (English) Zbl 0706.26019 J. Math. Anal. Appl. 149, No. 1, 220-235 (1990). Reviewer: J.Aczél MSC: 26D15 26A51 41A10 41A58 26A24 PDFBibTeX XMLCite \textit{A. Horwitz}, J. Math. Anal. Appl. 149, No. 1, 220--235 (1990; Zbl 0706.26019) Full Text: DOI
Neuman, Edward Inequalities involving multivariate convex functions. II. (English) Zbl 0699.26009 Proc. Am. Math. Soc. 109, No. 4, 965-974 (1990). Reviewer: Gh.Toader MSC: 26D15 26B25 41A15 33C60 PDFBibTeX XMLCite \textit{E. Neuman}, Proc. Am. Math. Soc. 109, No. 4, 965--974 (1990; Zbl 0699.26009) Full Text: DOI
Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc Entropic means. (English) Zbl 0675.26007 J. Math. Anal. Appl. 139, No. 2, 537-551 (1989). Reviewer: J.Aczél MSC: 26D15 26A24 26A51 41A60 PDFBibTeX XMLCite \textit{A. Ben-Tal} et al., J. Math. Anal. Appl. 139, No. 2, 537--551 (1989; Zbl 0675.26007) Full Text: DOI
Páles, Zsolt Inequalities for differences of powers. (English) Zbl 0649.26014 J. Math. Anal. Appl. 131, No. 1, 271-281 (1988). Reviewer: J.Aczél MSC: 26D15 41A10 26A51 26A24 PDFBibTeX XMLCite \textit{Z. Páles}, J. Math. Anal. Appl. 131, No. 1, 271--281 (1988; Zbl 0649.26014) Full Text: DOI
Scheffler, Hans-Peter Nonsmooth optimization and best approximations. (Nichtglatte Optimierung und Bestapproximationen.) (German) Zbl 0632.49010 Wiss. Z. Tech. Univ. Dres. 36, No. 2, 133-136 (1987). Reviewer: M. Sury MSC: 49J52 41A50 49K27 90C30 90C48 PDFBibTeX XMLCite \textit{H.-P. Scheffler}, Wiss. Z. Tech. Univ. Dres. 36, No. 2, 133--136 (1987; Zbl 0632.49010)
Lupşa, Liana Some types of convexity with respect to a given set. (English) Zbl 0631.52001 Rep., “Babes-Bolyai” Univ., Fac. Math., Res. Sémin. 8, 89-114 (1986). MSC: 52A01 46A55 41A50 PDFBibTeX XMLCite \textit{L. Lupşa}, Prepr., ``Babes-Bolyai'' Univ., Fac. Math., Res. Semin. 8, 89--114 (1986; Zbl 0631.52001)
Zwick, D. The generalized convexity cone of splines with multiple knots. (English) Zbl 0563.41014 Numer. Funct. Anal. Optimization 8(1985-86), 245-260 (1986). MSC: 41A15 26A51 PDFBibTeX XMLCite \textit{D. Zwick}, Numer. Funct. Anal. Optim. 8, 245--260 (1986; Zbl 0563.41014) Full Text: DOI
Ubhaya, Vasant A. Lipschitz condition in minimum norm problems on bounded functions. (English) Zbl 0579.41016 J. Approximation Theory 45, 201-218 (1985). MSC: 41A30 47H99 52A40 41A65 PDFBibTeX XMLCite \textit{V. A. Ubhaya}, J. Approx. Theory 45, 201--218 (1985; Zbl 0579.41016) Full Text: DOI
Marcellini, Paolo Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. (English) Zbl 0573.49010 Manuscr. Math. 51, 1-28 (1985). Reviewer: E.Mascolo MSC: 49J45 26B25 54C08 41A30 46E35 PDFBibTeX XMLCite \textit{P. Marcellini}, Manuscr. Math. 51, 1--28 (1985; Zbl 0573.49010) Full Text: DOI EuDML
Zwick, D. The generalized convexity cone of splines with simple knots. (English) Zbl 0542.41003 Approximation theory IV, Proc. int. Conf., Tex. A & M Univ. 1983, 733-737 (1983). MSC: 41A15 26A51 PDFBibTeX XML
Sen, Dilip Kumar Characterizations of strict convexity. (English) Zbl 0502.46007 Bull. Calcutta Math. Soc. 73, 93-97 (1981). MSC: 46B03 46C99 46B20 41A50 PDFBibTeX XMLCite \textit{D. K. Sen}, Bull. Calcutta Math. Soc. 73, 93--97 (1981; Zbl 0502.46007)
Popoviciu, Elena Sous-ensembles remarquables d’un ensemble interpolatoire. (French) Zbl 0478.26005 Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 8, 193-202 (1979). MSC: 26A51 41A30 41A05 PDFBibTeX XMLCite \textit{E. Popoviciu}, Math. Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 8, 193--202 (1979; Zbl 0478.26005)