Rakhimi, Larbi; Khadari, Abdelmajid; Daher, Radouan \(K\)-functional related to the deformed Hankel transform. (English) Zbl 07712558 Ann. Univ. Paedagog. Crac., Stud. Math. 385(22), 13-20 (2023). MSC: 41A17 42A38 44A20 PDF BibTeX XML Cite \textit{L. Rakhimi} et al., Ann. Univ. Paedagog. Crac., Stud. Math. 385(22), 13--20 (2023; Zbl 07712558) Full Text: DOI
Volosivets, S. Approximation in variable exponent spaces and growth of norms of trigonometric polynomials. (English) Zbl 07672170 Anal. Math. 49, No. 1, 307-336 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 42A10 41A17 46E35 PDF BibTeX XML Cite \textit{S. Volosivets}, Anal. Math. 49, No. 1, 307--336 (2023; Zbl 07672170) Full Text: DOI
El Hamma, Mohamed; Mahfoud, Ayoub Equivalence of \(K\)-functional and modulus of smoothness constructed by Fourier-Bessel transform in the space \(L_{2,\gamma}(\mathbb{R}_+^n)\). (English) Zbl 07726665 Bull. Transilv. Univ. Brașov, Ser. III, Math. Comput. Sci. 2(64), No. 2, 75-84 (2022). MSC: 42B10 42A38 PDF BibTeX XML Cite \textit{M. El Hamma} and \textit{A. Mahfoud}, Bull. Transilv. Univ. Brașov, Ser. III, Math. Comput. Sci. 2(64), No. 2, 75--84 (2022; Zbl 07726665) Full Text: DOI
Shabozov, M. Sh.; Malakbozov, Z. Sh. On the best polynomial approximation in Hardy space. (English. Russian original) Zbl 07712849 Russ. Math. 66, No. 11, 97-109 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 110-123 (2022). MSC: 41A10 41A50 41A28 PDF BibTeX XML Cite \textit{M. Sh. Shabozov} and \textit{Z. Sh. Malakbozov}, Russ. Math. 66, No. 11, 97--109 (2022; Zbl 07712849); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 110--123 (2022) Full Text: DOI
Volosivets, S. S. Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces. (English. Russian original) Zbl 07644822 Russ. Math. 66, No. 6, 8-19 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 13-25 (2022). MSC: 41Axx 46Exx 42Axx PDF BibTeX XML Cite \textit{S. S. Volosivets}, Russ. Math. 66, No. 6, 8--19 (2022; Zbl 07644822); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 13--25 (2022) Full Text: DOI
Rakhimi, Larbi; Daher, Radouan Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator. (English) Zbl 07625856 Tatra Mt. Math. Publ. 81, 107-116 (2022). MSC: 41A36 44A20 PDF BibTeX XML Cite \textit{L. Rakhimi} and \textit{R. Daher}, Tatra Mt. Math. Publ. 81, 107--116 (2022; Zbl 07625856) Full Text: DOI
Tyr, Othman; Daher, Radouan Jackson’s inequalities in Laguerre hypergroup. (English) Zbl 07599843 J. Pseudo-Differ. Oper. Appl. 13, No. 4, Paper No. 54, 19 p. (2022). MSC: 33D15 33E30 44A20 PDF BibTeX XML Cite \textit{O. Tyr} and \textit{R. Daher}, J. Pseudo-Differ. Oper. Appl. 13, No. 4, Paper No. 54, 19 p. (2022; Zbl 07599843) Full Text: DOI
Agrawal, P. N.; Kajla, Arun; Kumar, Abhishek \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu. (English) Zbl 07597940 Acta Math. Vietnam. 47, No. 4, 781-816 (2022). MSC: 41A36 41A25 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., Acta Math. Vietnam. 47, No. 4, 781--816 (2022; Zbl 07597940) Full Text: DOI
Khuromonov, Khuromon Mamadamonovich; Shabozov, Mirgand Shabozovich Jackson-Stechkin type inequalities between the best joint polynomials approximation and a smoothness characteristic in Bergman space. (Russian. English summary) Zbl 1513.30184 Vladikavkaz. Mat. Zh. 24, No. 1, 109-120 (2022). MSC: 30E10 PDF BibTeX XML Cite \textit{K. M. Khuromonov} and \textit{M. S. Shabozov}, Vladikavkaz. Mat. Zh. 24, No. 1, 109--120 (2022; Zbl 1513.30184) Full Text: DOI MNR
Boubatra, Mohamed Amine On the generalized Dunkl Dini-Lipschitz spaces. (English) Zbl 1497.42021 Integral Transforms Spec. Funct. 33, No. 10, 782-798 (2022). MSC: 42B10 42A38 47G10 42B35 46E35 26A16 26A15 PDF BibTeX XML Cite \textit{M. A. Boubatra}, Integral Transforms Spec. Funct. 33, No. 10, 782--798 (2022; Zbl 1497.42021) Full Text: DOI
El Hamma, Mohamed; Daher, Radouan; Djellab, Nisrine Equivalence of \(K\)-functionals and modulus of smoothness constructed by Cherednik-Opdam transform. (English) Zbl 1487.42057 Nihonkai Math. J. 32, No. 2, 79-89 (2021). MSC: 42B37 PDF BibTeX XML Cite \textit{M. El Hamma} et al., Nihonkai Math. J. 32, No. 2, 79--89 (2021; Zbl 1487.42057) Full Text: Link
Serdyuk, A. S.; Shidlich, A. L. Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces. (English) Zbl 1485.42010 Carpathian Math. Publ. 13, No. 3, 687-700 (2021). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 42A75 41A17 41A25 26A15 PDF BibTeX XML Cite \textit{A. S. Serdyuk} and \textit{A. L. Shidlich}, Carpathian Math. Publ. 13, No. 3, 687--700 (2021; Zbl 1485.42010) Full Text: DOI arXiv
Agrawal, P. N.; Acu, Ana Maria; Chauhan, Ruchi; Garg, Tarul Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle. (English) Zbl 1494.41009 J. Math. Inequal. 15, No. 4, 1695-1711 (2021). MSC: 41A36 41A25 26A15 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., J. Math. Inequal. 15, No. 4, 1695--1711 (2021; Zbl 1494.41009) Full Text: DOI
Zuo, Zhanfei Uniform normal structure of Banach spaces and their duals. (English) Zbl 1488.46036 Adv. Math., Beijing 50, No. 4, 593-602 (2021). MSC: 46B20 46B25 PDF BibTeX XML Cite \textit{Z. Zuo}, Adv. Math., Beijing 50, No. 4, 593--602 (2021; Zbl 1488.46036)
Rakhimi, L.; Daher, R. Equivalence of \(K\)-functionals and modulus of smoothness for Laguerre type operator. (English) Zbl 1489.43006 J. Pseudo-Differ. Oper. Appl. 12, No. 4, Paper No. 53, 15 p. (2021). MSC: 43A62 43A80 41A17 PDF BibTeX XML Cite \textit{L. Rakhimi} and \textit{R. Daher}, J. Pseudo-Differ. Oper. Appl. 12, No. 4, Paper No. 53, 15 p. (2021; Zbl 1489.43006) Full Text: DOI
Abdullayev, Fahreddin; Chaichenko, Stanislav; Shidlich, Andrii Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces. (English) Zbl 1466.41008 Math. Inequal. Appl. 24, No. 2, 323-336 (2021). MSC: 41A27 41A44 42A16 PDF BibTeX XML Cite \textit{F. Abdullayev} et al., Math. Inequal. Appl. 24, No. 2, 323--336 (2021; Zbl 1466.41008) Full Text: DOI arXiv
Runovskii, Konstantin V. Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials. (English. Russian original) Zbl 1464.42001 Sb. Math. 212, No. 2, 234-264 (2021); translation from Mat. Sb. 212, No. 2, (2021). MSC: 42A10 41A17 41A50 42B15 PDF BibTeX XML Cite \textit{K. V. Runovskii}, Sb. Math. 212, No. 2, 234--264 (2021; Zbl 1464.42001); translation from Mat. Sb. 212, No. 2, (2021) Full Text: DOI
Daher, Radouan; Tyr, Othman Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight. (English) Zbl 1467.41009 Mediterr. J. Math. 18, No. 2, Paper No. 69, 16 p. (2021). MSC: 41A36 33D15 44A20 PDF BibTeX XML Cite \textit{R. Daher} and \textit{O. Tyr}, Mediterr. J. Math. 18, No. 2, Paper No. 69, 16 p. (2021; Zbl 1467.41009) Full Text: DOI
El Ouadih, S. An equivalence theorem for a \(K\)-functional constructed by Beltrami-Laplace operator on symmetric spaces. (English) Zbl 1462.43006 J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1951-1962 (2020). Reviewer: Jorge Vargas (Córdoba) MSC: 43A85 53C35 46M35 44A20 PDF BibTeX XML Cite \textit{S. El Ouadih}, J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1951--1962 (2020; Zbl 1462.43006) Full Text: DOI
Kazimirov, G. N. On the coincidence of generalized smoothness modules on some class of functions. (Russian. English summary) Zbl 1451.41005 Probl. Fiz. Mat. Tekh. 2020, No. 2(43), 69-70 (2020). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{G. N. Kazimirov}, Probl. Fiz. Mat. Tekh. 2020, No. 2(43), 69--70 (2020; Zbl 1451.41005) Full Text: MNR
Angeloni, Laura; Costarelli, Danilo; Vinti, Gianluca Quantitative estimates for sampling type operators with respect to the Jordan variation. (English) Zbl 1446.41008 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 269-284 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A05 94A20 PDF BibTeX XML Cite \textit{L. Angeloni} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 269--284 (2020; Zbl 1446.41008) Full Text: DOI
Agrawal, P. N.; Acu, A. M.; Ruchi, R. \(q\)-generalized Bernstein-Durrmeyer polynomials. (English) Zbl 1439.41001 J. Math. Inequal. 14, No. 1, 211-235 (2020). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 41A36 41A60 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., J. Math. Inequal. 14, No. 1, 211--235 (2020; Zbl 1439.41001) Full Text: DOI
Nigam, H. K.; Hadish, Md. Functional approximation in Besov space using generalized Nörlund-Hausdorff product matrix. (English) Zbl 1499.42011 J. Inequal. Appl. 2019, Paper No. 191, 17 p. (2019). MSC: 42A10 41A10 41A25 42B05 42A50 40G05 40C05 PDF BibTeX XML Cite \textit{H. K. Nigam} and \textit{Md. Hadish}, J. Inequal. Appl. 2019, Paper No. 191, 17 p. (2019; Zbl 1499.42011) 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 PDF BibTeX XML Cite \textit{D. V. Gorbachev} and \textit{V. I. Ivanov}, Math. Notes 106, No. 4, 537--561 (2019; Zbl 1435.42007) Full Text: DOI arXiv
Runovskii, K. V. Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \). (English. Russian original) Zbl 1439.42002 Math. Notes 106, No. 3, 412-422 (2019); translation from Mat. Zametki 106, No. 3, 436-449 (2019). MSC: 42A10 41A17 41A50 46E35 42B35 PDF BibTeX XML Cite \textit{K. V. Runovskii}, Math. Notes 106, No. 3, 412--422 (2019; Zbl 1439.42002); translation from Mat. Zametki 106, No. 3, 436--449 (2019) Full Text: DOI
Garg, Tarul; Acu, Ana Maria; Agrawal, P. N. Weighted approximation and GBS of Chlodowsky-Szász-Kantorovich type operators. (English) Zbl 1428.41025 Anal. Math. Phys. 9, No. 3, 1429-1448 (2019). MSC: 41A36 41A10 41A25 PDF BibTeX XML Cite \textit{T. Garg} et al., Anal. Math. Phys. 9, No. 3, 1429--1448 (2019; Zbl 1428.41025) Full Text: DOI
Zhao, Liang; Wang, Weiwei; Yu, Yang The application of generalized modulus of smoothness in fixed point. (Chinese. English summary) Zbl 1438.46020 J. Nat. Sci. Heilongjiang Univ. 36, No. 1, 7-11 (2019). MSC: 46B20 47H09 PDF BibTeX XML Cite \textit{L. Zhao} et al., J. Nat. Sci. Heilongjiang Univ. 36, No. 1, 7--11 (2019; Zbl 1438.46020) Full Text: DOI
El Hamma, Mohamed; Daher, Radouan Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Jacobi transform. (English) Zbl 1457.33003 Integral Transforms Spec. Funct. 30, No. 12, 1018-1024 (2019). MSC: 33C45 42C15 PDF BibTeX XML Cite \textit{M. El Hamma} and \textit{R. Daher}, Integral Transforms Spec. Funct. 30, No. 12, 1018--1024 (2019; Zbl 1457.33003) Full Text: DOI
Volosivets, Sergey Multiple sine series and Nikol’skii classes in uniform metric. (English) Zbl 1440.42031 Eur. J. Math. 5, No. 1, 206-222 (2019). MSC: 42B05 42B35 42A32 PDF BibTeX XML Cite \textit{S. Volosivets}, Eur. J. Math. 5, No. 1, 206--222 (2019; Zbl 1440.42031) Full Text: DOI
Kazimirov, G. N. Equivalent of the structural characteristic of a complex process modeled by algebraical polynomials. (Russian. English summary) Zbl 1414.46018 Probl. Fiz. Mat. Tekh. 2018, No. 3(36), 76-79 (2018). MSC: 46B70 PDF BibTeX XML Cite \textit{G. N. Kazimirov}, Probl. Fiz. Mat. Tekh. 2018, No. 3(36), 76--79 (2018; Zbl 1414.46018) Full Text: MNR
Israfilov, D. M.; Testici, A. Some inverse and simultaneous approximation theorems in weighted variable exponent Lebesgue spaces. (English) Zbl 1438.41021 Anal. Math. 44, No. 4, 475-492 (2018). MSC: 41A27 42A10 PDF BibTeX XML Cite \textit{D. M. Israfilov} and \textit{A. Testici}, Anal. Math. 44, No. 4, 475--492 (2018; Zbl 1438.41021) Full Text: DOI
El Ouadih, S.; Daher, R. Equivalence of K-functionals and modulus of smoothness generated by a Bessel type operator on the interval \([0,1]\). (English) Zbl 1401.41017 J. Pseudo-Differ. Oper. Appl. 9, No. 4, 933-951 (2018). MSC: 41A36 44A20 PDF BibTeX XML Cite \textit{S. El Ouadih} and \textit{R. Daher}, J. Pseudo-Differ. Oper. Appl. 9, No. 4, 933--951 (2018; Zbl 1401.41017) Full Text: DOI
Israfilov, Daniyal M.; Testici, Ahmet Approximation problems in the Lebesgue spaces with variable exponent. (English) Zbl 1395.46023 J. Math. Anal. Appl. 459, No. 1, 112-123 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 46E30 41A10 PDF BibTeX XML Cite \textit{D. M. Israfilov} and \textit{A. Testici}, J. Math. Anal. Appl. 459, No. 1, 112--123 (2018; Zbl 1395.46023) Full Text: DOI
Rao, Nadeem; Wafi, Abdul Stancu-variant of generalized Baskakov operators. (English) Zbl 1488.41062 Filomat 31, No. 9, 2625-2632 (2017). MSC: 41A36 41A25 PDF BibTeX XML Cite \textit{N. Rao} and \textit{A. Wafi}, Filomat 31, No. 9, 2625--2632 (2017; Zbl 1488.41062) Full Text: DOI arXiv
Israfilov, Daniyal M.; Testici, Ahmet Approximation in weighted generalized grand Smirnov classes. (English) Zbl 1399.30146 Stud. Sci. Math. Hung. 54, No. 4, 471-488 (2017). Reviewer: Konstantin Malyutin (Sumy) MSC: 30E10 41A10 41A25 42A10 PDF BibTeX XML Cite \textit{D. M. Israfilov} and \textit{A. Testici}, Stud. Sci. Math. Hung. 54, No. 4, 471--488 (2017; Zbl 1399.30146) Full Text: DOI
Domínguez, Oscar Ul’yanov-type inequalities and embeddings between Besov spaces: The case of parameters with limit values. (English) Zbl 1386.46031 Math. Inequal. Appl. 20, No. 3, 755-772 (2017). MSC: 46E30 46E35 41A17 46M35 PDF BibTeX XML Cite \textit{O. Domínguez}, Math. Inequal. Appl. 20, No. 3, 755--772 (2017; Zbl 1386.46031) Full Text: DOI
Dereventsov, Anton On the generalized approximate weak Chebyshev greedy algorithm. (English) Zbl 1371.41043 Stud. Math. 237, No. 2, 153-175 (2017). Reviewer: Costică Mustăţa (Cluj-Napoca) MSC: 41A65 46B20 PDF BibTeX XML Cite \textit{A. Dereventsov}, Stud. Math. 237, No. 2, 153--175 (2017; Zbl 1371.41043) Full Text: DOI arXiv
Foralewski, Paweł; Hudzik, Henryk; Kowalewski, Wojciech; Wisła, Marek Monotonicity properties of Banach lattices and their applications – a survey. (English) Zbl 1411.46018 de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 203-232 (2016). MSC: 46B42 46B40 46A40 46B20 46-02 PDF BibTeX XML Cite \textit{P. Foralewski} et al., in: Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22--26, 2013. Basel: Birkhäuser/Springer. 203--232 (2016; Zbl 1411.46018) Full Text: DOI
Anastassiou, George A.; Kester, Merve Global smoothness preservation and simultaneous approximation by multivariate discrete operators. (English) Zbl 1389.41019 Stud. Univ. Babeș-Bolyai, Math. 61, No. 3, 257-278 (2016). MSC: 41A35 26A15 26D15 41A05 41A28 PDF BibTeX XML Cite \textit{G. A. Anastassiou} and \textit{M. Kester}, Stud. Univ. Babeș-Bolyai, Math. 61, No. 3, 257--278 (2016; Zbl 1389.41019)
Runovskii, K. V.; Omel’chenko, N. V. Mixed generalized modulus of smoothness and approximation by the “angle” of trigonometric polynomials. (English. Russian original) Zbl 1362.42054 Math. Notes 100, No. 3, 448-457 (2016); translation from Mat. Zametki 100, No. 3, 421-432 (2016). MSC: 42B35 42A10 42B08 PDF BibTeX XML Cite \textit{K. V. Runovskii} and \textit{N. V. Omel'chenko}, Math. Notes 100, No. 3, 448--457 (2016; Zbl 1362.42054); translation from Mat. Zametki 100, No. 3, 421--432 (2016) Full Text: DOI
Liu, Guofen; Yang, Xiuzhong Approximation for a generalization of Bernstein operators. (English) Zbl 1346.41002 J. Inequal. Appl. 2016, Paper No. 204, 10 p. (2016). MSC: 41A25 41A27 41A36 PDF BibTeX XML Cite \textit{G. Liu} and \textit{X. Yang}, J. Inequal. Appl. 2016, Paper No. 204, 10 p. (2016; Zbl 1346.41002) Full Text: DOI
Orlova, Olga; Tamberg, Gert On approximation properties of generalized Kantorovich-type sampling operators. (English) Zbl 1329.41030 J. Approx. Theory 201, 73-86 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A35 41A25 PDF BibTeX XML Cite \textit{O. Orlova} and \textit{G. Tamberg}, J. Approx. Theory 201, 73--86 (2016; Zbl 1329.41030) Full Text: DOI
Anastassiou, George A.; Kester, Merve Global smoothness and approximation by generalized discrete singular operators. (English) Zbl 1349.41023 Rev. Anal. Numér. Théor. Approx. 43, No. 2, 113-140 (2014). MSC: 41A28 41A17 41A25 41A35 41A80 PDF BibTeX XML Cite \textit{G. A. Anastassiou} and \textit{M. Kester}, Rev. Anal. Numér. Théor. Approx. 43, No. 2, 113--140 (2014; Zbl 1349.41023)
Liu, Guofen Pointwise approximation for a generalization of Bernstein-Kantorovich operators. (Chinese. English summary) Zbl 1313.41054 Pure Appl. Math. 30, No. 1, 32-39 (2014). MSC: 41A36 41A25 41A27 PDF BibTeX XML Cite \textit{G. Liu}, Pure Appl. Math. 30, No. 1, 32--39 (2014; Zbl 1313.41054) Full Text: DOI
Wang, He Ping; Wang, Kai; Wang, Jing Entropy numbers of Besov classes of generalized smoothness on the sphere. (English) Zbl 1284.41018 Acta Math. Sin., Engl. Ser. 30, No. 1, 51-60 (2014). MSC: 41A46 41A25 PDF BibTeX XML Cite \textit{H. P. Wang} et al., Acta Math. Sin., Engl. Ser. 30, No. 1, 51--60 (2014; Zbl 1284.41018) Full Text: DOI
El Hamma, M.; Daher, R. Estimate of \(K\)-functionals and modulus of smoothness constructed by generalized spherical mean operator. (English) Zbl 1328.47036 Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 235-242 (2014). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 47B38 33C52 33C67 PDF BibTeX XML Cite \textit{M. El Hamma} and \textit{R. Daher}, Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 235--242 (2013; Zbl 1328.47036) Full Text: DOI
Volosivets, S. S.; Golubov, B. I. Fourier transforms in generalized Lipschitz classes. (English. Russian original) Zbl 1306.42007 Proc. Steklov Inst. Math. 280, 120-131 (2013); translation from Tr. Mat. Inst. Steklova 280, 126-137 (2013). Reviewer: Vjekoslav Kovač (Zagreb) MSC: 42A38 PDF BibTeX XML Cite \textit{S. S. Volosivets} and \textit{B. I. Golubov}, Proc. Steklov Inst. Math. 280, 120--131 (2013; Zbl 1306.42007); translation from Tr. Mat. Inst. Steklova 280, 126--137 (2013) Full Text: DOI
Li, Iong Ping; Su, Chun Mei; Ivanov, V. I. Some problems of approximation theory in the spaces \(L_p\) on the line with power weight. (English. Russian original) Zbl 1283.41011 Math. Notes 90, No. 3, 344-364 (2011); translation from Math. Zametki 90, No. 3, 362-383 (2011). MSC: 41A17 41A30 30E10 PDF BibTeX XML Cite \textit{I. P. Li} et al., Math. Notes 90, No. 3, 344--364 (2011; Zbl 1283.41011); translation from Math. Zametki 90, No. 3, 362--383 (2011) Full Text: DOI
Chidume, C. E.; Ofoedu, E. U. Solution of nonlinear integral equations of Hammerstein type. (English) Zbl 1252.47070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4293-4299 (2011). MSC: 47J25 47H06 47H09 PDF BibTeX XML Cite \textit{C. E. Chidume} and \textit{E. U. Ofoedu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4293--4299 (2011; Zbl 1252.47070) Full Text: DOI
Tikhonov, Sergey; Trebels, Walter Ulyanov-type inequalities and generalized Liouville derivatives. (English) Zbl 1213.26010 Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 1, 205-224 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 26A33 26A15 PDF BibTeX XML Cite \textit{S. Tikhonov} and \textit{W. Trebels}, Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 1, 205--224 (2011; Zbl 1213.26010) Full Text: DOI
Kazimirov, G. N. Equivalent structural characteristic of the given generalized modulus of smoothness. (Russian. English summary) Zbl 1247.41016 Probl. Fiz. Mat. Tekh. 2010, No. 3(4), 49-52 (2010). MSC: 41A36 PDF BibTeX XML Cite \textit{G. N. Kazimirov}, Probl. Fiz. Mat. Tekh. 2010, No. 3(4), 49--52 (2010; Zbl 1247.41016) Full Text: MNR
Draganov, Borislav R. Simulataneous approximation of functions by Fejér-type operators in a generalized Hölder norm. (English) Zbl 1217.41022 East J. Approx. 14, No. 4, 439-449 (2008). MSC: 41A28 41A25 41A35 42A45 PDF BibTeX XML Cite \textit{B. R. Draganov}, East J. Approx. 14, No. 4, 439--449 (2008; Zbl 1217.41022)
Móricz, Ferenc Higher order Lipschitz classes of functions and absolutely convergent Fourier series. (English) Zbl 1212.42007 Acta Math. Hung. 120, No. 4, 355-366 (2008). MSC: 42A20 42A32 26A24 PDF BibTeX XML Cite \textit{F. Móricz}, Acta Math. Hung. 120, No. 4, 355--366 (2008; Zbl 1212.42007) Full Text: DOI
Belkina, E. S.; Platonov, S. S. Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. (English. Russian original) Zbl 1175.43001 Russ. Math. 52, No. 8, 1-11 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 8, 3-15 (2008). MSC: 43A30 42A99 44A15 PDF BibTeX XML Cite \textit{E. S. Belkina} and \textit{S. S. Platonov}, Russ. Math. 52, No. 8, 1--11 (2008; Zbl 1175.43001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 8, 3--15 (2008) Full Text: DOI
Potapov, M. K.; Berisha, F. M. On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order \(r\). (English. Russian original) Zbl 1178.41014 J. Math. Sci., New York 155, No. 1, 153-169 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 149-164 (2007). Reviewer: Gerlind Plonka (Duisburg) MSC: 41A30 41A50 PDF BibTeX XML Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, J. Math. Sci., New York 155, No. 1, 153--169 (2008; Zbl 1178.41014); translation from Sovrem. Mat., Fundam. Napravl. 25, 149--164 (2007) Full Text: DOI
Platonov, S. S. Bessel harmonic analysis and approximation of functions on the half-line. (English. Russian original) Zbl 1135.41015 Izv. Math. 71, No. 5, 1001-1048 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 5, 149-196 (2007). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A65 47B37 41A30 PDF BibTeX XML Cite \textit{S. S. Platonov}, Izv. Math. 71, No. 5, 1001--1048 (2007; Zbl 1135.41015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 5, 149--196 (2007) Full Text: DOI
Yuan, Hongjun Continuity of weak solutions for quasilinear parabolic equations with strong degeneracy. (English) Zbl 1168.35007 Chin. Ann. Math., Ser. B 28, No. 4, 475-498 (2007). Reviewer: Shigeru Sakaguchi (Hiroshima) MSC: 35D10 35K65 35K15 35B65 PDF BibTeX XML Cite \textit{H. Yuan}, Chin. Ann. Math., Ser. B 28, No. 4, 475--498 (2007; Zbl 1168.35007) Full Text: DOI
Liu, Shenggui; Xue, Yinchuan Approximation by a kind of generalized Stancu operators. (Chinese. English summary) Zbl 1112.41015 J. Ningxia Univ., Nat. Sci. Ed. 27, No. 1, 27-30 (2006). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{S. Liu} and \textit{Y. Xue}, J. Ningxia Univ., Nat. Sci. Ed. 27, No. 1, 27--30 (2006; Zbl 1112.41015)
Ren, Guangbin; Wang, Mingzhi Holomorphic Jackson’s theorems in polydiscs. (English) Zbl 1070.41007 J. Approximation Theory 134, No. 2, 175-198 (2005). Reviewer: Alexander Tovstolis (Donetsk) MSC: 41A17 32A35 32A36 32A38 41A63 46E35 PDF BibTeX XML Cite \textit{G. Ren} and \textit{M. Wang}, J. Approx. Theory 134, No. 2, 175--198 (2005; Zbl 1070.41007) Full Text: DOI
Chidume, C. E.; Li, Jinlu Projection methods for approximating fixed points of Lipschitz suppressive operators. (English) Zbl 1086.47018 Panam. Math. J. 15, No. 1, 29-39 (2005). Reviewer: Palaniappan Vijayaraju (Chennai) MSC: 47H10 54H25 47H09 47J25 47H06 PDF BibTeX XML Cite \textit{C. E. Chidume} and \textit{J. Li}, Panam. Math. J. 15, No. 1, 29--39 (2005; Zbl 1086.47018)
Tikhonov, Sergey On generalized Lipschitz classes and Fourier series. (English) Zbl 1065.26005 Z. Anal. Anwend. 23, No. 4, 745-764 (2004). Reviewer: László Leindler (Szeged) MSC: 26A16 42A16 26A15 PDF BibTeX XML Cite \textit{S. Tikhonov}, Z. Anal. Anwend. 23, No. 4, 745--764 (2004; Zbl 1065.26005) Full Text: DOI
Kozko, A. I.; Rozhdestvenskij, A. V. On Jackson’s inequality in \(L_2\) with a generalized modulus of continuity. (English. Russian original) Zbl 1068.41026 Sb. Math. 195, No. 8, 1073-1115 (2004); translation from Mat. Sb. 195, No. 8, 3-46 (2004). Reviewer: Elena E. Berdysheva (Stuttgart) MSC: 41A17 41A50 42A10 PDF BibTeX XML Cite \textit{A. I. Kozko} and \textit{A. V. Rozhdestvenskij}, Sb. Math. 195, No. 8, 1073--1115 (2004; Zbl 1068.41026); translation from Mat. Sb. 195, No. 8, 3--46 (2004) Full Text: DOI
Tikhonov, S. Yu. Generalized Lipschitz classes and Fourier coefficients. (English. Russian original) Zbl 1061.42002 Math. Notes 75, No. 6, 885-889 (2004); translation from Mat. Zametki 75, No. 6, 947-951 (2004). Reviewer: László Leindler (Szeged) MSC: 42A16 26D15 PDF BibTeX XML Cite \textit{S. Yu. Tikhonov}, Math. Notes 75, No. 6, 885--889 (2004; Zbl 1061.42002); translation from Mat. Zametki 75, No. 6, 947--951 (2004) Full Text: DOI
Lippus, Jüri On local wavelet coefficients of functions of generalized Lipschitz classes. (English) Zbl 1051.42027 Kopotun, Kirill (ed.) et al., Trends in approximation theory. Papers from the internatinal symposium in honor of the 60th birthday of Larry L. Schumaker, Nashville, TX, USA, May 17–20, 2000. Nashville, TX: Vanderbilt University Press (ISBN 0-8265-1379-4/hbk). Innovations in Applied Mathematics, 253-260 (2001). MSC: 42C40 PDF BibTeX XML Cite \textit{J. Lippus}, in: Trends in approximation theory. Papers from the international symposium in honor of the 60th birthday of Larry L. Schumaker, Nashville, TX, USA, May 17--20, 2000. Nashville, TX: Vanderbilt University Press. 253--260 (2001; Zbl 1051.42027)
La Torre, Davide; Rocca, Matteo Higher order uniform smoothness and differentiability of real functions. (English) Zbl 1015.26014 Real Anal. Exch. 26(2000-2001), No. 2, 657-667 (2001). Reviewer: Zbigniew Grande (Bydgoszcz) MSC: 26A24 26A16 26A15 PDF BibTeX XML Cite \textit{D. La Torre} and \textit{M. Rocca}, Real Anal. Exch. 26, No. 2, 657--667 (2001; Zbl 1015.26014)
Potapov, M. K.; Berisha, F. M. On the connection between an \(r\)-order modulus of smoothness and the best approximation by algebraic polynomials. (Russian. English summary) Zbl 0960.41004 Fundam. Prikl. Mat. 5, No. 2, 563-587 (1999). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A10 41A17 PDF BibTeX XML Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, Fundam. Prikl. Mat. 5, No. 2, 563--587 (1999; Zbl 0960.41004) Full Text: Link
Potapov, M. K.; Berisha, F. M. Approximation of classes of functions defined by a generalized \(k\)-modulus of smoothness. (English) Zbl 0932.41006 East J. Approx. 4, No. 2, 217-241 (1998). Reviewer: P.Petrov (Sofia) MSC: 41A10 33C45 41A25 PDF BibTeX XML Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, East J. Approx. 4, No. 2, 217--241 (1998; Zbl 0932.41006) Full Text: arXiv
Brandolini, Luca Imbedding theorems for Lipschitz spaces generated by the weak-\(L^p\) metric. (English) Zbl 0912.46029 J. Approximation Theory 94, No. 2, 173-190 (1998). Reviewer: Martin Väth (Würzburg) MSC: 46E30 46E35 PDF BibTeX XML Cite \textit{L. Brandolini}, J. Approx. Theory 94, No. 2, 173--190 (1998; Zbl 0912.46029) Full Text: DOI
Felten, Michael Characterization of best algebraic approximation by an algebraic modulus of smoothness. (English) Zbl 0874.41011 J. Approximation Theory 89, No. 1, 1-25 (1997). Reviewer: I.Serb (Cluj-Napoca) MSC: 41A50 PDF BibTeX XML Cite \textit{M. Felten}, J. Approx. Theory 89, No. 1, 1--25 (1997; Zbl 0874.41011) Full Text: DOI
Dyuzhenkova, O. Yu. A remark concerning the modulus of smoothness introduced by Ditzian and Totik. (English. Russian original) Zbl 0937.26005 Ukr. Math. J. 47, No. 12, 1858-1872 (1995); translation from Ukr. Mat. Zh. 47, No. 12, 1627-1638 (1995). Reviewer: A.N.Kochubei (Kyïv) MSC: 26A15 26A24 PDF BibTeX XML Cite \textit{O. Yu. Dyuzhenkova}, Ukr. Mat. Zh. 47, No. 12, 1627--1638 (1995; Zbl 0937.26005); translation from Ukr. Mat. Zh. 47, No. 12, 1627--1638 (1995) Full Text: DOI
Musielak, Anna On multiple Haar-Fourier series. (English) Zbl 0831.42017 Funct. Approximatio, Comment. Math. 23, 7-19 (1994). MSC: 42C10 26B30 46A80 PDF BibTeX XML Cite \textit{A. Musielak}, Funct. Approximatio, Comment. Math. 23, 7--19 (1994; Zbl 0831.42017)
Buczolich, Z.; Evans, M. J.; Humke, P. D. Approximate high order smoothness. (English) Zbl 0793.26008 Acta Math. Hung. 61, No. 3-4, 369-388 (1993). Reviewer: R.Pawlak (Łódź) MSC: 26A24 26A15 28A99 PDF BibTeX XML Cite \textit{Z. Buczolich} et al., Acta Math. Hung. 61, No. 3--4, 369--388 (1993; Zbl 0793.26008) Full Text: DOI
Barles, G. Regularity results for first order Hamilton-Jacobi equations. (English) Zbl 0739.35012 Differ. Integral Equ. 3, No. 1, 103-125 (1990). Reviewer: J.Schmeelk (Richmond) MSC: 35F25 35D10 35F30 35B05 70H20 35B65 PDF BibTeX XML Cite \textit{G. Barles}, Differ. Integral Equ. 3, No. 1, 103--125 (1990; Zbl 0739.35012)
Laurence, Peter; Stredulinsky, Edward Un résultat de régularité supérieure pour les équations différentielles généralisées de Grad. (A higher order regularity result for Grad generalized differential equations). (French) Zbl 0633.35010 C. R. Acad. Sci., Paris, Sér. I 305, 473-475 (1987). MSC: 35B65 35G20 35B45 35D10 PDF BibTeX XML Cite \textit{P. Laurence} and \textit{E. Stredulinsky}, C. R. Acad. Sci., Paris, Sér. I 305, 473--475 (1987; Zbl 0633.35010)
Marchi, Silvana Wiener estimates at boundary points for degenerate quasi-linear elliptic equations. (English) Zbl 0632.35025 Rend., Sci. Mat. Appl., A 120(1986), 17-33 (1987). Reviewer: M.Biroli MSC: 35J70 35J60 35J20 35D10 35B65 PDF BibTeX XML Cite \textit{S. Marchi}, Rend., Sci. Mat. Appl., A 120, 17--33 (1987; Zbl 0632.35025)
Biroli, M.; Marchi, S. Remark on “Wiener estimates at boundary points for degenerate elliptic equations”. (English) Zbl 0666.35037 Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 5, 257-267 (1986). Reviewer: J.Stara MSC: 35J70 35J67 35D10 35J25 35B65 PDF BibTeX XML Cite \textit{M. Biroli} and \textit{S. Marchi}, Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 5, 257--267 (1986; Zbl 0666.35037)
Musielak, Helena On the \(\tau\)-modulus of smoothness in generalized Orlicz spaces. (English) Zbl 0605.46021 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 25, 285-293 (1985). Reviewer: J.Appell MSC: 46E30 42A10 PDF BibTeX XML Cite \textit{H. Musielak}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 25, 285--293 (1985; Zbl 0605.46021)
Gajmnazarov, G. Some relations for the moduli of smoothness of fractional order in the space \(L_ p(-\infty,\infty)\). (Russian) Zbl 0595.41024 Izv. Akad. Nauk Tadzh. SSR, Otd. Fiz.-Mat. Khim. Geol. Nauk 1985, No. 3(97), 8-13 (1985). Reviewer: S.Aljančić MSC: 41A50 26A15 26A24 PDF BibTeX XML Cite \textit{G. Gajmnazarov}, Izv. Akad. Nauk Tadzh. SSR, Otd. Fiz.-Mat. Khim. Geol. Nauk 1985, No. 3(97), 8--13 (1985; Zbl 0595.41024)
Evans, Michael J.; Larson, Lee Monotonicity, symmetry, and smoothness. (English) Zbl 0591.26006 Classical real analysis, Proc. Spec. Sess., 794th Meet. AMS, Madison/Wis. 1982, Contemp. Math. 42, 49-54 (1985). Reviewer: L.Mišík MSC: 26A48 26A15 26A24 PDF BibTeX XML
Smailov, E. S. (ed.) [Akishev, G. A.; Tul’kubaev, A. D.; Abdrasheva, G.; Bisaliev, E. Zh.; Kusainova, L. K.; Bokaev, N. A.; Esmaganbetov, M. G.; Zhajnibekova, M. A.; Zhantlesov, Zh. Kh.; Ibraimkulov, A. M.; Il’ysov, Sh. I.; Imambaeva, B. D.; Seksenbaeva, A. K.; Novitskaya, A. M.; Lukashenko, S. Yu.; Lukashenko, T. P.; Ryazonova, M. P.; Makazhanova, T. Kh.; Muratbekov, M. B.; Mynbaev, K. T.; Ospanov, K. N.; Tazabekov, S.; Askarov, A. A.; Ibatov, A.; Trenogin, V. A.; Khaseinov, K. A.] Current questions of function theory and of functional analysis. Collection of scientific works. (Sovremennye voprosy teorii funktsii i funktsional’nogo analiza. Sbornik nauchnyk trudov). (Russian) Zbl 0659.46001 Karaganda: Karagandinskij Gosudarstvennyj Universitet. 129 p. R. 1.20 (1984). MSC: 46-06 00Bxx 42-06 47-06 46E30 46E35 PDF BibTeX XML
Wang, Silei A note on smoothness and differentiability of functions. (Chinese. English summary) Zbl 0587.26003 Chin. Ann. Math., Ser. A 5, 205-210 (1984). Reviewer: Ch.K.Chui MSC: 26A15 26A24 41A10 PDF BibTeX XML Cite \textit{S. Wang}, Chin. Ann. Math., Ser. A 5, 205--210 (1984; Zbl 0587.26003) Full Text: EuDML
Kalyabin, G. A.; Pis’mennaya, S. I. Description of traces of the functions whose derivatives are bounded with certain weights. (English. Russian original) Zbl 0568.46028 Math. Notes 35, 186-192 (1984); translation from Mat. Zametki 35, No. 3, 357-368 (1984). Reviewer: A.B.Németh MSC: 46E35 PDF BibTeX XML Cite \textit{G. A. Kalyabin} and \textit{S. I. Pis'mennaya}, Math. Notes 35, 186--192 (1984; Zbl 0568.46028); translation from Mat. Zametki 35, No. 3, 357--368 (1984) Full Text: DOI
Xie, Tingfan On smoothness and differentiability of functions. (Chinese) Zbl 0506.26003 Chin. Ann. Math. 1, 429-436 (1980). MSC: 26A15 26A24 41A25 PDF BibTeX XML Cite \textit{T. Xie}, Chin. Ann. Math. 1, 429--436 (1980; Zbl 0506.26003)
Terekhin, A. P. The mixed q-integral p-variation and theorems on the equivalence and the imbedding of classes of functions with mixed modulus of smoothness. (Russian) Zbl 0416.46018 Tr. Mat. Inst. Steklova 150, 306-319 (1979). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{A. P. Terekhin}, Tr. Mat. Inst. Steklova 150, 306--319 (1979; Zbl 0416.46018)