Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Convex Function

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Now showing 1 - 8 of 8
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    A Brief Overview and Survey of the Scientific Work by Feng Qi
    (Mdpi, 2022) Agarwal, Ravi Prakash; Karapinar, Erdal; Kostic, Marko; Cao, Jian; Du, Wei-Shih
    In the paper, the authors present a brief overview and survey of the scientific work by Chinese mathematician Feng Qi and his coauthors.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    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) Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; Botmart, Thongchai
    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.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 16
    Hermite-Hadamard Type Inequalities Via Fractional Integral of a Function Concerning Another Function
    (Amer inst Mathematical Sciences-aims, 2021) Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Baleanu, Dumitru
    In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.
  • 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: 69
    Citation - Scopus: 90
    Generation of New Fractional Inequalities Via N Polynomials S-Type Convexity With Applications
    (Springer, 2020) Iscan, Imdat; Baleanu, Dumitru; Chu, Yu-Ming; Rashid, Saima
    The celebrated Hermite-Hadamard and Ostrowski type inequalities have been studied extensively since they have been established. We find novel versions of the Hermite-Hadamard and Ostrowski type inequalities for the n-polynomial s-type convex functions in the frame of fractional calculus. Taking into account the new concept, we derive some generalizations that capture novel results under investigation. We present two different general techniques, for the functions whose first and second derivatives in absolute value at certain powers are n-polynomial s-type convex functions by employing K-fractional integral operators have yielded intriguing results. Applications and motivations of presented results are briefly discussed that generate novel variants related to quadrature rules that will be helpful for in-depth investigation in fractal theory, optimization and machine learning.
  • 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.