Browsing by Author "Kodamasingh, Bibhakar"

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Citation - WoS: 9
Citation - Scopus: 9
Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel
(Amer inst Mathematical Sciences-aims, 2023) Botmart, Thongchai; Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808; Matematik
In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the Hermite-Hadamard-Fejer type inequalities for convex as well as harmonically convex functions via fractional integrals involving an exponential kernel. Moreover, we also present improved versions of midpoint type Hermite-Hadamard inequality. Graphical representations are given to validate the accuracy of the main results. Finally, applications associated with matrices, q-digamma functions and modifed Bessel functions are also discussed.
Citation - WoS: 0
Citation - Scopus: 0
Certain midpoint-type Fejer and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel (vol 8, pg 5616, 2023)
(Amer inst Mathematical Sciences-aims, 2023) Botmart, Thongchai; Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808; Matematik
Citation - WoS: 10
Citation - Scopus: 10
Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application
(Amer inst Mathematical Sciences-aims, 2022) Sahoo, Soubhagya Kumar; Jarad, Fahd; Jarad, Fahd; Kodamasingh, Bibhakar; Kashuri, Artion; 234808; Matematik
Defining new fractional operators and employing them to establish well-known integral inequalities has been the recent trend in the theory of mathematical inequalities. To take a step forward, we present novel versions of Hermite-Hadamard type inequalities for a new fractional operator, which generalizes some well-known fractional integral operators. Moreover, a midpoint type fractional integral identity is derived for differentiable mappings, whose absolute value of the first-order derivatives are convex functions. Moreover, considering this identity as an auxiliary result, several improved inequalities are derived using some fundamental inequalities such as Holder-Iscan, Jensen and Young inequality. Also, if we take the parameter rho = 1 in most of the results, we derive new results for Atangana-Baleanu equivalence. One example related to matrices is also given as an application.
Citation - WoS: 41
Citation - Scopus: 43
Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators
(Springernature, 2022) Srivastava, Hari Mohan; Baleanu, Dumitru; Sahoo, Soubhagya Kumar; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Kodamasingh, Bibhakar; 56389; Matematik
In this article, the notion of interval-valued preinvex functions involving the Riemann-Liouville fractional integral is described. By applying this, some new refinements of the Hermite-Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.
Citation - WoS: 7
Citation - Scopus: 7
Some integral inequalities for generalized preinvex functions with applications
(Amer inst Mathematical Sciences-aims, 2021) Tariq, Muhammad; Jarad, Fahd; Sahoo, Soubhagya Kumar; Jarad, Fahd; Kodamasingh, Bibhakar; 234808; Matematik
The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea. In addition, we attain the novel version of Hermite-Hadamard type inequality utilizing the introduced preinvexity. Furthermore, we establish two new identities, and employing these, we present some refinements of Hermite-Hadamard-type inequality. Some special cases of the presented results for di fferent preinvex functions are deduced as well. Finally, as applications, some new inequalities for the arithmetic, geometric and harmonic means are established. Results obtained in this paper can be viewed as a significant improvement of previously known results. The awe-inspiring concepts and formidable tools of this paper may invigorate and revitalize for additional research in this worthy and absorbing field.