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FRACTIONAL VERSIONS OF OSTROWSKI AND RELATED INEQUALITIES WITH APPLICATIONS
- Zhao, Weidong;
- Farid, Ghulam;
- Ro, Jongsuk;
- Rehman, Atiq ur;
- Mekawy, Ibrahim
Citations
WEB OF SCIENCE
2Citations
SCOPUS
2초록
The inequality Psi(sigma) - 1 u2 - u1 integral u1u2 Psi(lambda)d lambda <= 1 4 + (sigma - u1+u2 2 )2 (u2 - u1)2 (u2 - u1)& Mscr;, is well known in literature as Ostrowski inequality. This paper aims to find two fractional versions of this inequality by utilizing definitions of Riemann-Liouville fractional integrals. By applying these inequalities on some fixed points, error bounds of fractional Hermite-Hadamard inequalities are obtained. Further, an Ostrowski-Gr & uuml;ss type inequality is also proved.
키워드
Ostrowski Inequality; Hermite-Hadamard Inequality; Gr & uuml; ss Inequality; Riemann-Liouville Fractional Integrals; Symmetric Function; ERROR-BOUNDS
- 제목
- FRACTIONAL VERSIONS OF OSTROWSKI AND RELATED INEQUALITIES WITH APPLICATIONS
- 저자
- Zhao, Weidong; Farid, Ghulam; Ro, Jongsuk; Rehman, Atiq ur; Mekawy, Ibrahim
- 발행일
- 2025-06
- 유형
- Article; Early Access
- 저널명
- Fractals
- 언어
- ENG
- 출판사
- WORLD SCIENTIFIC PUBL CO PTE LTD
- 발행국가
- 싱가포르
- ISSN
- E 1793-6543
P 0218-348X