On inequalities of Simpson's type for convex functions via generalized fractional integrals

نویسندگان

چکیده

Fractional calculus and applications have application areas in many different fields such as physics, chemistry, engineering well mathematics. The of arithmetic carried out classical analysis fractional is very important terms obtaining more realistic results the solution problems. In this study, we prove an identity involving generalized integrals by using differentiable functions. By utilizing identity, obtain several Simpson’s type inequalities for functions whose derivatives absolute value are convex. Finally, present some new special cases our main results.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals

In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional int...

متن کامل

On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

متن کامل

On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejér type integral inequality. The results presented here would provide extensions of those given in earlier works.

متن کامل

ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

In this paper, a new general identity for differentiable mappings via Riemann-Liouville fractional integrals has been defined. By using of this identity, author has obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolutely value at certain powers are s-convex in the second sense.

متن کامل

On Some Hermite-Hadamard Type Inequalities for Convex Functions via Hadamard Fractional Integrals

The well-known Hermite-Hadamard integral inequality was established by Hermite at the end of 19th century (see [1]). There are many recent contributions to improve this inequality, please refer to [2,3,4,5,6] and references therein. It is worth noting that there are some interesting results about Hermite-Hadamard inequalities via fractional integrals according to the corresponding integral equa...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics

سال: 2022

ISSN: ['1303-5991']

DOI: https://doi.org/10.31801/cfsuasmas.1004300