Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Sever Dragomir

doi:10.33434/cams.628097

EN

Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Abstract

In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well. Some examples for a general exponential fractional integral are also given.

Keywords

Functions of bounded variation,Generalized Riemann-Liouville fractional integrals,Hadamard fractional integrals,Ostrowski type inequalities,Trapezoid inequalities

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sever Dragomir ^*
0000-0003-2902-6805
Australia

Publication Date

December 29, 2019

Submission Date

October 2, 2019

Acceptance Date

November 21, 2019

Published in Issue

Year 2019 Volume: 2 Number: 4

DOI

https://doi.org/10.33434/cams.628097

IZ

https://izlik.org/JA53KK93MU

APA

Dragomir, S. (2019). Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences, 2(4), 309-330. https://doi.org/10.33434/cams.628097

AMA

1.Dragomir S. Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences. 2019;2(4):309-330. doi:10.33434/cams.628097

Chicago

Dragomir, Sever. 2019. “Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions With Bounded Variation”. Communications in Advanced Mathematical Sciences 2 (4): 309-30. https://doi.org/10.33434/cams.628097.

EndNote

Dragomir S (December 1, 2019) Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences 2 4 309–330.

IEEE

[1]S. Dragomir, “Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation”, Communications in Advanced Mathematical Sciences, vol. 2, no. 4, pp. 309–330, Dec. 2019, doi: 10.33434/cams.628097.

ISNAD

Dragomir, Sever. “Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions With Bounded Variation”. Communications in Advanced Mathematical Sciences 2/4 (December 1, 2019): 309-330. https://doi.org/10.33434/cams.628097.

JAMA

1.Dragomir S. Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences. 2019;2:309–330.

MLA

Dragomir, Sever. “Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions With Bounded Variation”. Communications in Advanced Mathematical Sciences, vol. 2, no. 4, Dec. 2019, pp. 309-30, doi:10.33434/cams.628097.

Vancouver

1.Sever Dragomir. Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences. 2019 Dec. 1;2(4):309-30. doi:10.33434/cams.628097

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https://doi.org/10.1186/s13662-021-03463-0

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Communications in Advanced Mathematical Sciences

https://doi.org/10.33434/cams.1503610

REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS

Fractals

https://doi.org/10.1142/S0218348X24501378

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Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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