Turkish Journal of Science
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Journal

Turkish Journal of Science


Volume & Issue

Volume 10, Issue 1


Published on

February 12, 2025


Pages

1-9


DOI

10.66833/TJOS-2025-0001
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Article

New Extensions of Gruss Type Inequalities via Generalized Proportional Fractional Integral Operators

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Authors

Saad Ihsan BUTT Affiliation:
COMSATS University Islamabad, Lahore Campus, Pakistan , Malik Ali RAZA Affiliation:
COMSATS University Islamabad, Lahore Campus, Pakistan , Muhammad NADEEM Affiliation:
COMSATS University Islamabad, Lahore Campus, Pakistan and Ebru KARADUMAN Affiliation:
Department of Mathematics, Faculty of Science and Letters, Ag˘rı I˙brahim C¸ ec¸en University, 04100, Ag˘rı, Tu¨rkiye


Abstract

In this paper, we have performed some new integral inequalities of Gru¨ ss type via generalized proportional fractional integral operators. We have used fairly elemantery integration methods, some classical integral inequalities and properties of generalized proportional fractional integral operators.


Keywords

Gruss type inequalities, Generalized Proportional Fractional integrals, Cauchy-Schwarz inequality.


Citation

Butt, S. I., Raza, M. A., Nadeem, M., & Karaduman, E. (2025). New extensions of gruss type inequalities via generalized proportional fractional integral operators. Turkish Journal of Science, 10(1), 1–9. https://doi.org/10.66833/TJOS-2025-0001
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