INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

M. GÜRBÜZ; O. ÖZTÜRK

Makale detayları

INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

Yazarlar:

M. GÜRBÜZ | O. ÖZTÜRK

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 1, pp.91-100

Belge Tipi:

Makale

Yayın Tarihi:

2/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805672

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson's type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do this, a new fractional integral identity is obtained. Then by using this identity, some inequalities for the class of functions whose derivatives in absolute values at certain powers are convex are derived. It is observed that the obtained inequalities are generalizations of some results exist in the literature.

Makale detayları

INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

Yazarlar: M. GÜRBÜZ | O. ÖZTÜRK

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 1, pp.91-100

Belge Tipi: Makale

Yayın Tarihi: 2/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000805672

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

M. GÜRBÜZ | O. ÖZTÜRK

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 1, pp.91-100

Belge Tipi:

Makale

Yayın Tarihi:

2/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805672

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147