Results 31 to 40 of about 390 (251)
Inequalities Associated with Invariant Harmonically h-Convex Functions [PDF]
, 2017 In this paper, we introduce a new class of harmonically convex functions which is called invariant harmonically h-convex function. We show that the class of invariant harmonically h-convex functions unifies several other new and classes of invariant ...
Aslam Noor, Muhammad +7 more
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On Generalized Harmonically ψ-MT-Convex Functions via Local Fractional Integrals and some Applications [PDF]
, 2023 In this work, we introduce a new class of harmonically convex functions, namely, generalized harmonically ψ-MT-convex functions established on fractal set techniques, for establishing inequalities of Hermite-Hadamard type and certain related variants ...
Fareed Shah, Ahsan +4 more
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Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging.
Jay M. Jahangiri, Raj Kumar Garg
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International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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Some Fractional Hermite–Hadamard Type Inequalities for Interval-Valued Functions
Mathematics, 2020 In this paper, firstly we prove the relationship between interval h-convex functions and interval harmonically h-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval h-convex functions via interval Riemann–Liouville ...
Fangfang Shi +3 more
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Some Companions of Fejér-Type Inequalities for Harmonically Convex Functions [PDF]
, 2022 In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejér-type inequalities for harmonically
Muhammad Amer Latif
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS
Journal of the Korean Mathematical Society, 2006 We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
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Hermite-Hadamard Type Inequalities For The Interval-Valued Harmonically h-Convex Functions Via Fractional Integrals [PDF]
, 2021 In this paper, we first present a new definition of convex interval-valued functions which is called as interval-valued harmonically h-convex functions.
Ali, Muhammad Aamir +3 more
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
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