Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

Browse

Filters

2019 - 20204

Settings

Scopus Q: search.filters.scopusQuartile.Q2Subject: search.filters.subject.Convex Function

Search Results

Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 22
    Citation - Scopus: 24
    Some New Extensions for Fractional Integral Operator Having Exponential in the Kernel and Their Applications in Physical Systems
    (de Gruyter Poland Sp Z O O, 2020) Baleanu, Dumitru; Chu, Yu-Ming; Rashid, Saima
    The key purpose of this study is to suggest a new fractional extension of Hermite-Hadamard, Hermite-Hadamard-Fejer and Pachpatte-type inequalities for harmonically convex functions with exponential in the kernel. Taking into account the new operator, we derived some generalizations that capture novel results under investigation with the aid of the fractional operators. We presented, in general, two different techniques that can be used to solve some new generalizations of increasing functions with the assumption of convexity by employing more general fractional integral operators having exponential in the kernel have yielded intriguing results. The results achieved by the use of the suggested scheme unfold that the used computational outcomes are very accurate, flexible, effective and simple to perform to examine the future research in circuit theory and complex waveforms.
  • Article
    Citation - WoS: 32
    Citation - Scopus: 51
    New Multi-Parametrized Estimates Having Pth-Order Differentiability in Fractional Calculus for Predominating H-Convex Functions in Hilbert Space
    (Mdpi, 2020) Kalsoom, Humaira; Hammouch, Zakia; Ashraf, Rehana; Baleanu, Dumitru; Chu, Yu-Ming; Rashid, Saima
    In Hilbert space, we develop a novel framework to study for two new classes of convex function depending on arbitrary non-negative function, which is called a predominating PLANCK CONSTANT OVER TWO PI-convex function and predominating quasiconvex function, with respect to eta, are presented. To ensure the symmetry of data segmentation and with the discussion of special cases, it is shown that these classes capture other classes of eta-convex functions, eta-quasiconvex functions, strongly PLANCK CONSTANT OVER TWO PI-convex functions of higher-order and strongly quasiconvex functions of a higher order, etc. Meanwhile, an auxiliary result is proved in the sense of kappa-fractional integral operator to generate novel variants related to the Hermite-Hadamard type for pth-order differentiability. It is hoped that this research study will open new doors for in-depth investigation in convexity theory frameworks of a varying nature.
  • Article
    Citation - WoS: 33
    Citation - Scopus: 41
    On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions With Applications
    (Mdpi, 2019) Rashid, Saima; Akdemir, Ahmet Ocak; Baleanu, Dumitru; Liu, Jia-Bao; Nie, Dongming
    In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite-Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.
  • Article
    Citation - WoS: 36
    Citation - Scopus: 55
    Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications
    (Mdpi, 2019) Jarad, Fahd; Noor, Muhammad Aslam; Rashid, Saima; Abdeljawad, Thabet
    In the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means.