2080

New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

In the paper, we introduce the class of trigonometrically convex functions and using the Hölder, Hölder-Işcan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h-convex functions. Some applications for special means are also given.

Keywords:

Ostrowski inequality, Hölder-İşcan Improved power-mean, Convex trigometrically,

Tam Metin

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Bibtex	@araştırma makalesi { gujs934699, journal = {Gazi University Journal of Science}, eissn = {2147-1762}, address = {}, publisher = {Gazi Üniversitesi}, year = {2023}, volume = {36}, number = {3}, pages = {1311 - 1324}, doi = {10.35378/gujs.934699}, title = {New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals}, key = {cite}, author = {Demir, Şenol and Maden, Selahattin} }
APA	Demir, Ş. & Maden, S. (2023). New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals . Gazi University Journal of Science , 36 (3) , 1311-1324 . DOI: 10.35378/gujs.934699
MLA	Demir, Ş. , Maden, S. "New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals" . Gazi University Journal of Science 36 (2023 ): 1311-1324 <
Chicago	Demir, Ş. , Maden, S. "New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals". Gazi University Journal of Science 36 (2023 ): 1311-1324
RIS	TY - JOUR T1 - New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals AU - ŞenolDemir, SelahattinMaden Y1 - 2023 PY - 2023 N1 - doi: 10.35378/gujs.934699 DO - 10.35378/gujs.934699 T2 - Gazi University Journal of Science JF - Journal JO - JOR SP - 1311 EP - 1324 VL - 36 IS - 3 SN - -2147-1762 M3 - doi: 10.35378/gujs.934699 UR - Y2 - 2022 ER -
EndNote	%0 Gazi University Journal of Science New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals %A Şenol Demir , Selahattin Maden %T New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals %D 2023 %J Gazi University Journal of Science %P -2147-1762 %V 36 %N 3 %R doi: 10.35378/gujs.934699 %U 10.35378/gujs.934699
ISNAD	Demir, Şenol , Maden, Selahattin . "New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals". Gazi University Journal of Science 36 / 3 (Eylül 2023): 1311-1324 .
AMA	Demir Ş. , Maden S. New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals. Gazi University Journal of Science. 2023; 36(3): 1311-1324.
Vancouver	Demir Ş. , Maden S. New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals. Gazi University Journal of Science. 2023; 36(3): 1311-1324.
IEEE	Ş. Demir ve S. Maden , "New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals", , c. 36, sayı. 3, ss. 1311-1324, Eyl. 2023, doi:10.35378/gujs.934699