Article
Some Novel Results for Chebyshev Type Inequalities via Generalized Proportional Fractional Integral Operators
Authors
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Abstract
Some novel estimations for Chebyshev type inequalities have been presented via generalized proportional fractional integral operators for integrable functions. The results are more general estimations by using the expansion of exponential function.
Keywords
Chebyshev type inequalities, Generalized Proportional Fractional operators, exponential function.
Citation
Butt, S. I., Akdemir, A. O., Gul, E., Nadeem, M., & Yalcin, A. (2023). Some novel results for chebyshev type inequalities via generalized proportional fractional integral operators. Turkish Journal of Science, 8(3), 114–123. https://doi.org/10.66833/TJOS-2023-0013
S. I. Butt, A. O. Akdemir, E. Gul, M. Nadeem and A. Yalcin, “Some novel results for chebyshev type inequalities via generalized proportional fractional integral operators,” Turkish Journal of Science, vol. 8, no. 3, pp. 114–123, 2023, doi: 10.66833/TJOS-2023-0013.
Butt SI, Akdemir AO, Gul E, Nadeem M, Yalcin A. Some novel results for chebyshev type inequalities via generalized proportional fractional integral operators. Turkish Journal of Science. 2023;8(3):114–123. doi:10.66833/TJOS-2023-0013.
Butt, S. I., Akdemir, A. O., Gul, E., Nadeem, M. and Yalcin, A. (2023), ‘Some novel results for chebyshev type inequalities via generalized proportional fractional integral operators’, Turkish Journal of Science, 8(3), pp. 114–123. Available at: https://doi.org/10.66833/TJOS-2023-0013.
Butt, Saad Ihsan, et al. “Some Novel Results for Chebyshev Type Inequalities via Generalized Proportional Fractional Integral Operators.” Turkish Journal of Science, vol. 8, no. 3, 2023, pp. 114–123. https://doi.org/10.66833/TJOS-2023-0013.
Butt, Saad Ihsan, Ahmet Ocak Akdemir, Erdal Gul, Muhammad Nadeem, and Abdullatif Yalcin. “Some Novel Results for Chebyshev Type Inequalities via Generalized Proportional Fractional Integral Operators.” Turkish Journal of Science 8, no. 3 (2023): 114–123. https://doi.org/10.66833/TJOS-2023-0013.
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Published by: Engineering Journals


