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$Generalizations of Holders and some related integral inequalities on fractal space$

Generalizations of Holders and some related integral inequalities on fractal space

: 본 연구는 수학적 이론 중 하나인 호더(Hölder) 불평등에 초점을 맞추고, 이를 지역 분수 미적분학이라는 복잡한 수학 영역으로 확장하는 데 주력하고 있다. 호더 불평등은 함수 공간에서의 벡터 내적과 관련된 중요한 결과로, 다양한 응용 분야에서 활용되고 있다. 1. 호더 불평등의 일반화 논문에서는 먼저 기존의 호더 불평등을 복습하고 이를 지역 분수 미적분학에 적용하기 위한 새로운 형태의 불평등을 제시한다. 특히, p₁과 p₂가 양수일 때와 0 < p₁ < 1이고 p₂ < 0인 경우에 대해 각각 다른 일반화된 결과를 도출한다.

Generalizations of Holders and some related integral inequalities on fractal space

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