Geodesic
Some weighted Hadamard and Ostrowski-type fractional inequalities for quasi-geometrically convex functions
Filomat, Tome 37 (2023) no. 18, p. 5921

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DOI

It is well knowledge that the purpose of inequality is to develop various approaches to mathematical problem solving. In order to prove the originality and existence of mathematical techniques, it is now necessary to seek exact inequalities. In the present research, we propose some novel weighted fractional Ostrowski-type inequalities for functions which are differentiable and satisfy quasi-geometrically convex using a new identity. Moreover, outcomes for functions with a bounded first derivative are proved. Finally, some examples are given to illustrate the investigated results. The obtained results generalize and refine previously known results.
DOI : 10.2298/FIL2318921K
Classification : 26D07, 26D10, 26D15, 26A33
Keywords: Fractional Calculus, Weighted Ostrowski-type inequalities, quasi-geometrically convex function, weighted fractional calculus 
Humaira Kalsoom; Muhammad Amer Latif. Some weighted Hadamard and Ostrowski-type fractional inequalities for quasi-geometrically convex functions. Filomat, Tome 37 (2023) no. 18, p. 5921 . doi: 10.2298/FIL2318921K
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     title = {Some weighted {Hadamard} and {Ostrowski-type} fractional inequalities for quasi-geometrically convex functions},
     journal = {Filomat},
     pages = {5921 },
     year = {2023},
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     number = {18},
     doi = {10.2298/FIL2318921K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318921K/}
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