Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,
Keywords: approximations and expansions, trigonometric approximation and interpolation, ordinary differential equations, interpolation processes, approximation theory, sampling theorem.

Main publications:

1. A. Yu. Trynin, “Ob odnom metode resheniya smeshannoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s pomoschyu modifitsirovannykh operatorov sink-priblizhenii”, Zh. vychisl. matem. i matem. fiz., 63:7 (2023), 1156–1176      ; Comput. Math. Math. Phys., 63:7 (2023), 1264–1284  
2. A. Yu. Trynin, “Ob operatorakh interpolirovaniya po resheniyam zadachi Koshi i mnogochlenakh Lagranzha–Yakobi”, Izv. RAN. Ser. matem., 75:6 (2011), 129–162  ; Izv. Math., 75:6 (2011), 1215–1248    
3. A. Yu. Trynin, “Otsenki funktsii Lebega i formula Nevai dlya $sinc$-priblizhenii nepreryvnykh funktsii na otrezke”, Sib. matem. zhurn., 48:5 (2007), 1155–1166    
4. A. Yu. Trynin, “Obobschenie teoremy otschetov Uittekera–Kotelnikova–Shennona dlya nepreryvnykh funktsii na otrezke”, Matem. sb., 200:11 (2009), 61–108
5. A. Yu. Trynin, “O raskhodimosti sink-priblizhenii vsyudu na $(0,\pi)$”, Algebra i analiz, 22:4 (2010), 232–256    
6. A.Yu. TRYNIN, “OB ODNOI OBRATNOI UZLOVOI ZADAChE DLYa OPERATORA ShTURMA-LIUVILLYa”, Ufimskii matematicheskii zhurnal., 5:3 (2013), 116-129
7. A. Yu. Trynin, “Ob asimptotike reshenii i uzlovykh tochek differentsialnykh vyrazhenii Shturma–Liuvillya”, Sib. matem. zhurn., 51:3 (2010), 662–675        ; Siberian Math. J., 51:3 (2010), 525–536        

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• N. G. Chernyshevsky Saratov State University, Faculty of Mathematics and Mechanics