New results on Bullen-type inequalities for coordinated convex functions obtained by using conformable fractional integrals

Fatih Hezenci; Hasan Kara; Hüseyin Budak

doi:10.3842/umzh.v76i11.7989

Fatih Hezenci Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkey
Hasan Kara Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkey
Hüseyin Budak Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkey

DOI: https://doi.org/10.3842/umzh.v76i11.7989

Анотація

УДК 517.9

Нові результати щодо нерівностей типу Буллена для координованої опуклої функції, отримані за допомогою конформних дробових інтегралів

Метою цієї роботи є дослідження нових нерівностей типу Буллена для координованих опуклих відображень за допомогою конформних дробових інтегралів. Спочатку для цього встановлено тотожність, яка містить конформні дробові інтеграли. За допомогою цієї тотожності отримано нові нерівності, які розширюють сферу застосування раніше встановлених результатів, одержаних за допомогою інтегралів Рімана–Ліувілля, шляхом вибору певних змінних із застосуванням нерівностей Гельдера та середнього степеня.

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