An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2

Hayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., Бердимурадова, У.А.

Ҳисоблаш ва амалий математика муаммолари · 2025-yil

Annotatsiya

One of the classical problems in computational mathematics is to construct an interpolation formulas from a countable set of data. This paper demonstrates the problem of construction of optimal interpolation formulas with derivative in the space ????(2,1)2 (0, 1). Here the interpolation formula consists of the linear combination of values of the function at nodes and values of the first derivative of that function at the end points of the interval [0, 1]. For any function of the space ????(2,1) 2 (0, 1) the error of the interpolation formulas is estimated by the norm of the error functional in the conjugate space ????(2,1) 2 (0, 1). The norm of the error functional is calculated for constructing optimal interpolation formulas.

Maqola ma’lumotlari
MualliflarHayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., Бердимурадова, У.А.
JurnalҲисоблаш ва амалий математика муаммолари
NashriyotТошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази
ISSN2181-8460, 2181-046X
Nashr sanasi2025-01-03
Son4/2
Betlar90-98
TilIngliz
Indeksga qo‘shilgan2026-08-27

Maqolaning asl sahifasi

Kalit so‘zlar

space ????(2,1) 2 (0, 1, an extremal function, the error functional, optimal interpolation formulas, conjucate space, the norm of error functional, Пространство ????(2,1)2 (0, 1), экстремальная функция, функционал погрешности, оптимальные интерполяционные формулы, сопряженное пространство, норма функционала погрешности

Iqtibos keltirish

APAHayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., & Бердимурадова, У.А. (2025). An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2. Ҳисоблаш ва амалий математика муаммолари, (4/2), 90-98. https://journals.airi.uz/index.php/pvpm/article/view/66
GOST (OAK)Hayotov, A.R. va b. An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2 // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4/2. – P. 90-98.
MLAHayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., and Бердимурадова, У.А. “An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 90-98, 2025. https://journals.airi.uz/index.php/pvpm/article/view/66
ChicagoHayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., and Бердимурадова, У.А. “An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 90-98 (2025). https://journals.airi.uz/index.php/pvpm/article/view/66
HarvardHayotov, A.R., Nafasov, A.Y., Berdimuradova, U.A., Хаётов, А.Р., Нафасов, А.Ю., and Бердимурадова, У.А (2025) ‘An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2’, Ҳисоблаш ва амалий математика муаммолари, (4/2), 90-98. https://journals.airi.uz/index.php/pvpm/article/view/66
BibTeX
@article{hayotovar2025,
  title = {An Optimal Interpolation Formulas with Derivative in the Space ????(2,1)2},
  author = {Hayotov, A.R. and Nafasov, A.Y. and Berdimuradova, U.A. and Хаётов, А.Р. and Нафасов, А.Ю. and Бердимурадова, У.А.},
  journal = {Ҳисоблаш ва амалий математика муаммолари},
  year = {2025},
  number = {4/2},
  pages = {90-98},
  url = {https://journals.airi.uz/index.php/pvpm/article/view/66}
}

Boshqa maqola uchun iqtibos tayyorlash

Ҳисоблаш ва амалий математика муаммолари jurnalidan boshqa maqolalar

Ҳисоблаш ва амалий математика муаммолари — barcha maqolalar · 2025-yil arxivi

Hayotov, A.R. — boshqa maqolalari