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ÖLMEZ, Emine Büşra (ÖZDEMİR)

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Emine Büşra (ÖZDEMİR)

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    Publication
    Novel generalizations for gruss type inequalities pertaining to the constant proportional fractional integrals
    (Ministry Communications & High Technologies Republic Azerbaijan, 2023-01-01) Çelik, Barış; Set, Erhan; Akdemir, Ahmet Ocak; Özdemir, M. Emin; ÖLMEZ, Emine Büşra (ÖZDEMİR); Bursa Uludağ Üniversitesi/Eğitim Fakültesi/Matematik Eğitimi Bölümü; JIH-1630-2023
    In this study, motivating and new findings are proved mainly by using the strong link between fractional analysis and inequality theory. Some new and general versions of the Gruss inequality, which has an important place in the literature, are presented with the help of the constant proportional (CP) fractional integral operator. In the methodology of obtaining the findings, the kernel structure of the fractional integral operator, the properties of the operator, the properties of the functions in the hypotheses and the well-known analysis processes were taken into account.