MELLIN INTEGRAL ALMASHTIRISHI VA UNING TADBIQLARI

Zenodo (CERN European Organization for Nuclear Research) 2026 Dataset Open access

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Authors: Teshayeva Gulhayo Farhod qizi, Worldly Knowledge Publishing Centre
DOI: 10.5281/zenodo.18518336
Cited by: 0

Abstract

Mazkur maqolada Mellin integral almashtirishi va uning nazariy hamda amaliy tadbiqlari tahlil qilinadi. Tadqiqotda Mellin almashtirishining ta’rifi, asosiy xossalari, teskari almashtirishi hamda maxsus funksiyalar bilan bog‘liqligi yoritiladi. O‘rganish jarayonida ushbu almashtirishning masshtab invariantligi va ko‘paytma konvolyutsiyaga nisbatan samaradorligi ko‘rsatildi. Natijalar Mellin integral almashtirishining asimptotik tahlil, maxsus funksiyalar nazariyasi, signal va tasvirlarni qayta ishlash hamda algoritmik murakkablikni baholash kabi sohalarda muhim analitik vosita ekanini tasdiqlaydi. Maqola Mellin almashtirishining matematik analizdagi o‘rni va zamonaviy tadbiqlarini tizimli ravishda yoritib, kelgusidagi tadqiqotlar uchun nazariy asos yaratadi.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Mathematical and Computational Methods Approximation Theory and Sequence Spaces

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 February 2026
Document type
Dataset