{"id":23759,"date":"2019-03-01T15:01:42","date_gmt":"2019-03-01T11:01:42","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?page_id=23759"},"modified":"2019-03-01T15:03:40","modified_gmt":"2019-03-01T11:03:40","slug":"aliev-rashid-avazaga-oglu","status":"publish","type":"page","link":"https:\/\/www.imm.az\/exp\/personnel\/aliev-rashid-avazaga-oglu\/","title":{"rendered":"Aliev Rashid Avazaga oglu"},"content":{"rendered":"

Basic scientific achievements<\/strong><\/p>\n

A new method for the approximate solution of linear singular integral equations is constructed and justified.
\nWe introduce the notions of N-integrability for functions and prove that the Cauchy-type integrals of finite complex measures are Cauchy N-integrals of their boundary values.<\/p>\n

The list of publications at the 5 years published<\/strong><\/p>\n

    \n
  1. R.A.Aliev, Representability of analytic functions in terms of their boundary values, Math. Notes, 73:1 (2003), 8-20.<\/li>\n
  2. R.A.Aliev, A new constructive method for solving singular integral equations, Math. Notes, 79:6 (2006), 749-770.<\/li>\n
  3. R.A.Aliev, Existence of angular boundary values and Cauchy-Green formula, Journal of Mathematical Physics, Analysis, Geometry, 7:1 (2011), 3-18.<\/li>\n
  4. R.A.Aliev, – integrals and boundary values of Cauchy-type integrals of finite measures, Sbornik: Mathematics, 205:7 (2014), 913-935.<\/li>\n
  5. A.D.Gadjiev, R.A.Aliev, Approximation of analytical functions by -positive linear operators in the closed domain, Positivity, 18:3 (2014), 439-447.<\/li>\n
  6. R.A.Aliev, On Taylor coefficients of Cauchy type integrals of finite complex measures, Complex Variables and Elliptic Equations, 60:12 (2015), 1727-1738.<\/li>\n
  7. A.D.Gadjiev, R.A.Aliev, Approximation of analytic functions in annulus by linear operators, Appl. Math. and Comp., 252 (2015), 438-445.<\/li>\n
  8. R.A.Aliev, On properties of Hilbert transform of finite complex measures, Complex Analysis and Operator Theory, 10:1 (2016), 171-185.<\/li>\n
  9. R.A.Aliev, V.E.Ismailov, On a smoothness problem in ridge function representation, Advances in Applied Mathematics, 73 (2016), 154-169.<\/li>\n
  10. R.A.Aliev, Ch.A.Gadjieva, Approximation of Hypersingular Integral Operators With Cauchy Kernel, Numerical Functional Analysis and Optimization, 37:9 (2016), 1055-1065.<\/li>\n
  11. Akif D. Gadjiev, Rashid A. Aliev, Korovkin type theorem for linear -positive operators in a polydisc of analytical functions, Math. Slovaca, 66:5 (2016), 1179-1186.<\/li>\n
  12. Rashid A. Aliev, Representability of Cauchy-type integrals of finite complex measures on the real axis in terms of their boundary values, Complex Variables and Elliptic Equations, 62:4 (2017), 536-553.<\/li>\n
  13. Rashid A. Aliev, Khanim I. Nebiyeva, The A-integral and restricted Ahlfors\u2013Beurling transform, Integral Transforms and Special Functions, 29:10 (2018), 820-830.<\/li>\n
  14. Rashid A. Aliev, Aysel A. Asgarova, Vugar E. Ismailov, A note on continuous sums of ridge functions, Journal of Approximation Theory, 237 (2019), 210\u2013221.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Basic scientific achievements A new method for the approximate solution of linear singular integral equations is constructed and justified. We introduce the notions of N-integrability for functions and prove that the Cauchy-type integrals of finite complex measures are Cauchy N-integrals of their boundary values. The list of publications at the 5 years published R.A.Aliev, Representability […]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":2350,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/23759"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=23759"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/23759\/revisions"}],"predecessor-version":[{"id":23761,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/23759\/revisions\/23761"}],"up":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/2350"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=23759"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}